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Fair value of financial instruments - Carrying or notional amounts and estimated fair values for financial instruments (Details) - USD ($)
$ in Thousands
Sep. 30, 2020
Dec. 31, 2019
Sep. 30, 2019
Dec. 31, 2018
Carrying amount        
Financial Assets:        
Cash and due from banks $ 565,202 $ 388,311    
Money market investments 11,859,924 3,262,286    
Trading account debt securities, excluding derivatives 33,053 40,321    
Debt Securities Available for Sale, at Fair Value 21,177,839 17,648,473    
Debt securities held-to-maturity, net 80,742 97,662    
Equity securities:        
FHLB Stock 53,252 43,787    
FRB stock 92,721 93,470    
Other investments 28,020 22,630    
Equity securities 173,993 159,887    
Loans held-for-sale 102,760 59,203    
Loans held in portfolio, net 28,466,660 26,929,165    
Mortgage servicing rights 123,552 150,906    
Derivatives 18,080 17,966    
Deposits        
Demand deposits 48,177,054 36,083,809    
Time deposits 7,844,929 7,674,797    
Total deposits 56,021,983 43,758,606    
Assets sold under agreements to repurchase 106,028 193,378    
Other short-term borrowings 100,000      
Notes payable:        
Advances with the FHLB 519,208 421,399    
Unsecured senior debt securities 296,257 295,307    
Junior Subordinated Debenture Owed To Unconsolidated Subsidiary Trust 384,922 384,902    
FRB advances 1,009      
Notes Payable 1,201,396 1,101,608    
Derivatives 15,346 16,619    
Carrying amount | Obligations of Puerto Rico, States and political subdivisions        
Financial Assets:        
Debt securities held-to-maturity, net 68,646 85,556    
Carrying amount | Collateralized Mortgage Obligations - Federal agencies        
Financial Assets:        
Debt securities held-to-maturity, net 35 45    
Carrying amount | Securities in wholly owned statutory business trusts        
Financial Assets:        
Debt securities held-to-maturity, net 11,561 11,561    
Carrying amount | Other        
Financial Assets:        
Debt securities held-to-maturity, net 500 500    
Cash and due from banks 565,202 388,311    
Money market investments 11,859,924 3,262,286    
Trading account debt securities, excluding derivatives 33,053 40,321    
Debt Securities Available for Sale, at Fair Value 21,177,839 17,648,473    
Debt securities held-to-maturity, net 80,742 97,662    
Equity securities:        
Equity securities 173,993 159,887    
Loans held in portfolio, net 28,466,660 26,929,165    
Mortgage servicing rights 123,552 150,906 $ 150,652 $ 169,777
Deposits        
Time deposits 7,844,929 7,674,797    
Total deposits 56,021,983 43,758,606    
Assets sold under agreements to repurchase 106,028 193,378    
Other short-term borrowings 100,000 0    
Notes payable:        
Notes Payable 1,201,396 1,101,608    
Obligations of Puerto Rico, States and political subdivisions        
Financial Assets:        
Debt Securities Available for Sale, at Fair Value   6,975    
Debt securities held-to-maturity, net 68,646      
Collateralized Mortgage Obligations - Federal agencies        
Financial Assets:        
Debt Securities Available for Sale, at Fair Value 450,306 586,175    
Debt securities held-to-maturity, net 35      
Securities in wholly owned statutory business trusts        
Financial Assets:        
Debt securities held-to-maturity, net 11,561      
Other        
Financial Assets:        
Debt Securities Available for Sale, at Fair Value 257 350    
Debt securities held-to-maturity, net 500      
Fair Value        
Financial Assets:        
Cash and due from banks 565,202 388,311    
Money market investments 11,859,924 3,262,286    
Trading account debt securities, excluding derivatives 33,053 40,321    
Debt Securities Available for Sale, at Fair Value 21,177,839 17,648,473    
Debt securities held-to-maturity, net 95,093 105,110    
Equity securities:        
FHLB Stock 53,252 43,787    
FRB stock 92,721 93,470    
Other investments 28,397 28,695    
Equity securities 174,370 165,952    
Loans held-for-sale 104,915 60,030    
Loans held in portfolio, net 27,023,763 25,051,400    
Mortgage servicing rights 123,552 150,906    
Derivatives 18,080 17,966    
Deposits        
Demand deposits 48,177,054 36,083,809    
Time deposits 7,845,290 7,598,732    
Total deposits 56,022,344 43,682,541    
Assets sold under agreements to repurchase 105,699 193,271    
Other short-term borrowings 100,000      
Notes payable:        
Advances with the FHLB 540,547 429,718    
Unsecured senior debt securities 301,082 323,415    
Junior Subordinated Debenture Owed To Unconsolidated Subsidiary Trust 407,262 395,216    
FRB advances 1,009      
Notes Payable 1,249,900 1,148,349    
Derivatives 15,346 16,619    
Fair Value | Obligations of Puerto Rico, States and political subdivisions        
Financial Assets:        
Debt securities held-to-maturity, net 82,995 93,002    
Fair Value | Collateralized Mortgage Obligations - Federal agencies        
Financial Assets:        
Debt securities held-to-maturity, net 37 47    
Fair Value | Securities in wholly owned statutory business trusts        
Financial Assets:        
Debt securities held-to-maturity, net 11,561 11,561    
Fair Value | Other        
Financial Assets:        
Debt securities held-to-maturity, net 500 500    
Fair Value | Level 1        
Financial Assets:        
Cash and due from banks 565,202 388,311    
Money market investments 11,853,978 3,256,274    
Trading account debt securities, excluding derivatives 4,106 7,081    
Debt Securities Available for Sale, at Fair Value 3,999,320 3,841,715    
Debt securities held-to-maturity, net 0 0    
Equity securities:        
FHLB Stock 0 0    
FRB stock 0 0    
Other investments 0 0    
Equity securities 0 0    
Loans held-for-sale 0 0    
Loans held in portfolio, net 0 0    
Mortgage servicing rights 0 0    
Derivatives 0 0    
Deposits        
Demand deposits 0 0    
Time deposits 0 0    
Total deposits 0 0    
Assets sold under agreements to repurchase 0 0    
Other short-term borrowings 0      
Notes payable:        
Advances with the FHLB 0 0    
Unsecured senior debt securities 0 0    
Junior Subordinated Debenture Owed To Unconsolidated Subsidiary Trust 0 0    
FRB advances 0      
Notes Payable 0 0    
Derivatives 0 0    
Fair Value | Level 1 | Obligations of Puerto Rico, States and political subdivisions        
Financial Assets:        
Debt securities held-to-maturity, net 0 0    
Fair Value | Level 1 | Collateralized Mortgage Obligations - Federal agencies        
Financial Assets:        
Debt securities held-to-maturity, net 0 0    
Fair Value | Level 1 | Securities in wholly owned statutory business trusts        
Financial Assets:        
Debt securities held-to-maturity, net 0 0    
Fair Value | Level 1 | Other        
Financial Assets:        
Debt securities held-to-maturity, net 0 0    
Fair Value | Level 2        
Financial Assets:        
Cash and due from banks 0 0    
Money market investments 5,946 6,012    
Trading account debt securities, excluding derivatives 28,124 32,270    
Debt Securities Available for Sale, at Fair Value 17,177,395 13,805,576    
Debt securities held-to-maturity, net 12,061 12,061    
Equity securities:        
FHLB Stock 53,252 43,787    
FRB stock 92,721 93,470    
Other investments 26,718 21,328    
Equity securities 172,691 158,585    
Loans held-for-sale 0 0    
Loans held in portfolio, net 0 0    
Mortgage servicing rights 0 0    
Derivatives 18,080 17,966    
Deposits        
Demand deposits 48,177,054 36,083,809    
Time deposits 7,845,290 7,598,732    
Total deposits 56,022,344 43,682,541    
Assets sold under agreements to repurchase 105,699 193,271    
Other short-term borrowings 100,000      
Notes payable:        
Advances with the FHLB 540,547 429,718    
Unsecured senior debt securities 301,082 323,415    
Junior Subordinated Debenture Owed To Unconsolidated Subsidiary Trust 407,262 395,216    
FRB advances 1,009      
Notes Payable 1,249,900 1,148,349    
Derivatives 15,346 16,619    
Fair Value | Level 2 | Obligations of Puerto Rico, States and political subdivisions        
Financial Assets:        
Debt securities held-to-maturity, net 0 0    
Fair Value | Level 2 | Collateralized Mortgage Obligations - Federal agencies        
Financial Assets:        
Debt securities held-to-maturity, net 0 0    
Fair Value | Level 2 | Securities in wholly owned statutory business trusts        
Financial Assets:        
Debt securities held-to-maturity, net 11,561 11,561    
Fair Value | Level 2 | Other        
Financial Assets:        
Debt securities held-to-maturity, net 500 500    
Fair Value | Level 3        
Financial Assets:        
Cash and due from banks 0 0    
Money market investments 0 0    
Trading account debt securities, excluding derivatives 823 970    
Debt Securities Available for Sale, at Fair Value 1,124 1,182    
Debt securities held-to-maturity, net 83,032 93,049    
Equity securities:        
FHLB Stock 0 0    
FRB stock 0 0    
Other investments 1,679 7,367    
Equity securities 1,679 7,367    
Loans held-for-sale 104,915 60,030    
Loans held in portfolio, net 27,023,763 25,051,400    
Mortgage servicing rights 123,552 150,906    
Derivatives 0 0    
Deposits        
Demand deposits 0 0    
Time deposits 0 0    
Total deposits 0 0    
Assets sold under agreements to repurchase 0 0    
Other short-term borrowings 0      
Notes payable:        
Advances with the FHLB 0 0    
Unsecured senior debt securities 0 0    
Junior Subordinated Debenture Owed To Unconsolidated Subsidiary Trust 0 0    
FRB advances 0      
Notes Payable 0 0    
Derivatives 0 0    
Fair Value | Level 3 | Obligations of Puerto Rico, States and political subdivisions        
Financial Assets:        
Debt securities held-to-maturity, net 82,995 93,002    
Fair Value | Level 3 | Collateralized Mortgage Obligations - Federal agencies        
Financial Assets:        
Debt securities held-to-maturity, net 37 47    
Fair Value | Level 3 | Securities in wholly owned statutory business trusts        
Financial Assets:        
Debt securities held-to-maturity, net 0 0    
Fair Value | Level 3 | Other        
Financial Assets:        
Debt securities held-to-maturity, net $ 0 $ 0