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Fair value of financial instruments - Carrying or notional amounts and estimated fair values for financial instruments (Details) - USD ($)
$ in Thousands
Jun. 30, 2020
Dec. 31, 2019
Jun. 30, 2019
Dec. 31, 2018
Carrying amount        
Financial Assets:        
Cash and due from banks $ 435,080 $ 388,311    
Money market investments 9,625,278 3,262,286    
Trading account debt securities, excluding derivatives 33,560 40,321    
Debt Securities Available for Sale, at Fair Value 20,763,453 17,648,473    
Debt securities held-to-maturity, net 82,694 97,662    
Equity securities:        
FHLB Stock 48,086 43,787    
FRB stock 92,029 93,470    
Other investments 26,361 22,630    
Equity securities 166,476 159,887    
Loans held-for-sale 68,725 59,203    
Loans held in portfolio, net 28,152,119 26,929,165    
Mortgage servicing rights 141,144 150,906    
Derivatives 15,365 17,966    
Deposits        
Demand deposits 45,712,606 36,083,809    
Time deposits 8,131,694 7,674,797    
Total deposits 53,844,300 43,758,606    
Assets sold under agreements to repurchase 153,065 193,378    
Notes payable:        
Advances with the FHLB 504,409 421,399    
Unsecured senior debt securities 295,941 295,307    
Junior Subordinated Debenture Owed To Unconsolidated Subsidiary Trust 384,915 384,902    
FRB advances 1,009      
Notes Payable 1,186,274 1,101,608    
Derivatives 12,612 16,619    
Carrying amount | Obligations of Puerto Rico, States and political subdivisions        
Financial Assets:        
Debt securities held-to-maturity, net 70,593 85,556    
Carrying amount | Collateralized Mortgage Obligations - Federal agencies        
Financial Assets:        
Debt securities held-to-maturity, net 40 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 435,080 388,311    
Money market investments 9,625,278 3,262,286    
Trading account debt securities, excluding derivatives 33,560 40,321    
Debt Securities Available for Sale, at Fair Value 20,763,453 17,648,473    
Debt securities held-to-maturity, net 82,694 97,662    
Equity securities:        
Equity securities 166,476 159,887    
Loans held in portfolio, net 28,152,119 26,929,165    
Mortgage servicing rights 141,144 150,906 $ 153,021 $ 169,777
Deposits        
Time deposits 8,131,694 7,674,797    
Total deposits 53,844,300 43,758,606    
Assets sold under agreements to repurchase 153,065 193,378    
Notes payable:        
Notes Payable 1,186,274 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 70,593      
Collateralized Mortgage Obligations - Federal agencies        
Financial Assets:        
Debt Securities Available for Sale, at Fair Value 514,229 586,175    
Debt securities held-to-maturity, net 40      
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 283 350    
Debt securities held-to-maturity, net 500      
Fair Value        
Financial Assets:        
Cash and due from banks 435,080 388,311    
Money market investments 9,625,278 3,262,286    
Trading account debt securities, excluding derivatives 33,560 40,321    
Debt Securities Available for Sale, at Fair Value 20,763,453 17,648,473    
Debt securities held-to-maturity, net 83,656 105,110    
Equity securities:        
FHLB Stock 48,086 43,787    
FRB stock 92,029 93,470    
Other investments 30,839 28,695    
Equity securities 170,954 165,952    
Loans held-for-sale 70,525 60,030    
Loans held in portfolio, net 26,435,627 25,051,400    
Mortgage servicing rights 141,144 150,906    
Derivatives 15,365 17,966    
Deposits        
Demand deposits 45,712,606 36,083,809    
Time deposits 8,125,875 7,598,732    
Total deposits 53,838,481 43,682,541    
Assets sold under agreements to repurchase 152,510 193,271    
Notes payable:        
Advances with the FHLB 525,562 429,718    
Unsecured senior debt securities 290,946 323,415    
Junior Subordinated Debenture Owed To Unconsolidated Subsidiary Trust 384,475 395,216    
FRB advances 1,009      
Notes Payable 1,201,992 1,148,349    
Derivatives 12,612 16,619    
Fair Value | Obligations of Puerto Rico, States and political subdivisions        
Financial Assets:        
Debt securities held-to-maturity, net 71,553 93,002    
Fair Value | Collateralized Mortgage Obligations - Federal agencies        
Financial Assets:        
Debt securities held-to-maturity, net 42 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 435,080 388,311    
Money market investments 9,619,232 3,256,274    
Trading account debt securities, excluding derivatives 3,906 7,081    
Debt Securities Available for Sale, at Fair Value 5,998,853 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    
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 6,046 6,012    
Trading account debt securities, excluding derivatives 28,789 32,270    
Debt Securities Available for Sale, at Fair Value 14,763,449 13,805,576    
Debt securities held-to-maturity, net 12,061 12,061    
Equity securities:        
FHLB Stock 48,086 43,787    
FRB stock 92,029 93,470    
Other investments 25,058 21,328    
Equity securities 165,173 158,585    
Loans held-for-sale 0 0    
Loans held in portfolio, net 0 0    
Mortgage servicing rights 0 0    
Derivatives 15,365 17,966    
Deposits        
Demand deposits 45,712,606 36,083,809    
Time deposits 8,125,875 7,598,732    
Total deposits 53,838,481 43,682,541    
Assets sold under agreements to repurchase 152,510 193,271    
Notes payable:        
Advances with the FHLB 525,562 429,718    
Unsecured senior debt securities 290,946 323,415    
Junior Subordinated Debenture Owed To Unconsolidated Subsidiary Trust 384,475 395,216    
FRB advances 1,009      
Notes Payable 1,201,992 1,148,349    
Derivatives 12,612 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 865 970    
Debt Securities Available for Sale, at Fair Value 1,151 1,182    
Debt securities held-to-maturity, net 71,595 93,049    
Equity securities:        
FHLB Stock 0 0    
FRB stock 0 0    
Other investments 5,781 7,367    
Equity securities 5,781 7,367    
Loans held-for-sale 70,525 60,030    
Loans held in portfolio, net 26,435,627 25,051,400    
Mortgage servicing rights 141,144 150,906    
Derivatives 0 0    
Deposits        
Demand deposits 0 0    
Time deposits 0 0    
Total deposits 0 0    
Assets sold under agreements to repurchase 0 0    
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 71,553 93,002    
Fair Value | Level 3 | Collateralized Mortgage Obligations - Federal agencies        
Financial Assets:        
Debt securities held-to-maturity, net 42 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