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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, 2021
Dec. 31, 2020
Jun. 30, 2020
Dec. 31, 2019
Financial Assets:        
Cash and due from banks $ 530,849 $ 491,065    
Money market investments 17,802,801 11,640,880    
Debt Securities Available for sale, at fair value 22,335,167 21,561,152    
Debt securities held-to-maturity, net 78,587 82,360    
Equity securities:        
Equity securities 187,502 173,737    
Loans held in portfolio, net 28,276,827 28,488,946    
Mortgage servicing rights 119,467 118,395 $ 141,144 $ 150,906
Deposits        
Time deposits 7,008,008 7,307,848    
Deposits 64,641,776 56,866,340    
Assets sold under agreements to repurchase 90,925 121,303    
Notes payable:        
Notes payable 1,176,620 1,224,981    
Obligations of Puerto Rico, States and political subdivisions        
Financial Assets:        
Debt securities held-to-maturity, net 66,996 70,768    
Collateralized Mortgage Obligations - Federal agencies        
Financial Assets:        
Debt Securities Available for sale, at fair value 282,922 392,132    
Debt securities held-to-maturity, net 30 31    
Securities in wholly owned statutory business trusts        
Financial Assets:        
Debt securities held-to-maturity, net 11,561 11,561    
Other        
Financial Assets:        
Debt Securities Available for sale, at fair value 176 235    
Carrying amount        
Financial Assets:        
Cash and due from banks 530,849 491,065    
Money market investments 17,802,801 11,640,880    
Trading account debt securities, excluding derivatives 35,931 36,674    
Debt Securities Available for sale, at fair value 22,335,167 21,561,152    
Debt securities held-to-maturity, net 78,587 82,360    
Equity securities:        
FHLB Stock 56,436 49,799    
FRB stock 94,498 93,045    
Other investments 36,568 30,893    
Equity securities 187,502 173,737    
Loans held-for-sale 85,315 99,455    
Loans held in portfolio, net 28,276,827 28,488,946    
Mortgage servicing rights 119,467 118,395    
Derivatives 23,573 20,785    
Deposits        
Demand deposits 57,633,768 49,558,492    
Time deposits 7,008,008 7,307,848    
Deposits 64,641,776 56,866,340    
Assets sold under agreements to repurchase 90,925 121,303    
Notes payable:        
Advances with the FHLB 494,469 542,469    
Unsecured senior debt securities 297,208 296,574    
Junior Subordinated Debenture Owed To Unconsolidated Subsidiary Trust 384,943 384,929    
FRB advances   1,009    
Notes payable 1,176,620 1,224,981    
Derivatives 20,960 18,925    
Carrying amount | Obligations of Puerto Rico, States and political subdivisions        
Financial Assets:        
Debt securities held-to-maturity, net 66,996 70,768    
Carrying amount | Collateralized Mortgage Obligations - Federal agencies        
Financial Assets:        
Debt securities held-to-maturity, net 30 31    
Carrying amount | Securities in wholly owned statutory business trusts        
Financial Assets:        
Debt securities held-to-maturity, net 11,561 11,561    
Fair Value        
Financial Assets:        
Cash and due from banks 530,849 491,065    
Money market investments 17,802,800 11,640,880    
Trading account debt securities, excluding derivatives 35,931 36,674    
Debt Securities Available for sale, at fair value 22,335,167 21,561,152    
Debt securities held-to-maturity, net 91,604 94,891    
Equity securities:        
FHLB Stock 56,436 49,799    
FRB stock 94,498 93,045    
Other investments 36,917 31,085    
Equity securities 187,851 173,929    
Loans held-for-sale 86,797 102,189    
Loans held in portfolio, net 27,238,968 27,098,297    
Mortgage servicing rights 119,467 118,395    
Derivatives 23,573 20,785    
Deposits        
Demand deposits 57,633,768 49,558,492    
Time deposits 6,974,494 7,319,963    
Deposits 64,608,262 56,878,455    
Assets sold under agreements to repurchase 90,905 121,257    
Notes payable:        
Advances with the FHLB 504,583 561,977    
Unsecured senior debt securities 323,643 321,078    
Junior Subordinated Debenture Owed To Unconsolidated Subsidiary Trust 402,045 395,078    
FRB advances   1,009    
Notes payable 1,230,271 1,279,142    
Derivatives 20,960 18,925    
Fair Value | Obligations of Puerto Rico, States and political subdivisions        
Financial Assets:        
Debt securities held-to-maturity, net 80,012 83,298    
Fair Value | Collateralized Mortgage Obligations - Federal agencies        
Financial Assets:        
Debt securities held-to-maturity, net 31 32    
Fair Value | Securities in wholly owned statutory business trusts        
Financial Assets:        
Debt securities held-to-maturity, net 11,561 11,561    
Fair Value | Level 1        
Financial Assets:        
Cash and due from banks 530,849 491,065    
Money market investments 17,796,803 11,634,851    
Trading account debt securities, excluding derivatives 10,060 11,506    
Debt Securities Available for sale, at fair value 399,994 3,499,781    
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    
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 2        
Financial Assets:        
Cash and due from banks 0 0    
Money market investments 5,997 6,029    
Trading account debt securities, excluding derivatives 25,260 24,509    
Debt Securities Available for sale, at fair value 21,934,235 18,060,357    
Debt securities held-to-maturity, net 11,561 11,561    
Equity securities:        
FHLB Stock 56,436 49,799    
FRB stock 94,498 93,045    
Other investments 33,781 29,590    
Equity securities 184,715 172,434    
Loans held-for-sale 0 0    
Loans held in portfolio, net 0 0    
Mortgage servicing rights 0 0    
Derivatives 23,573 20,785    
Deposits        
Demand deposits 57,633,768 49,558,492    
Time deposits 6,974,494 7,319,963    
Deposits 64,608,262 56,878,455    
Assets sold under agreements to repurchase 90,905 121,257    
Notes payable:        
Advances with the FHLB 504,583 561,977    
Unsecured senior debt securities 323,643 321,078    
Junior Subordinated Debenture Owed To Unconsolidated Subsidiary Trust 402,045 395,078    
FRB advances   1,009    
Notes payable 1,230,271 1,279,142    
Derivatives 20,960 18,925    
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 3        
Financial Assets:        
Cash and due from banks 0 0    
Money market investments 0 0    
Trading account debt securities, excluding derivatives 611 659    
Debt Securities Available for sale, at fair value 938 1,014    
Debt securities held-to-maturity, net 80,043 83,330    
Equity securities:        
FHLB Stock 0 0    
FRB stock 0 0    
Other investments 3,136 1,495    
Equity securities 3,136 1,495    
Loans held-for-sale 86,797 102,189    
Loans held in portfolio, net 27,238,968 27,098,297    
Mortgage servicing rights 119,467 118,395    
Derivatives 0 0    
Deposits        
Demand deposits 0 0    
Time deposits 0 0    
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 80,012 83,298    
Fair Value | Level 3 | Collateralized Mortgage Obligations - Federal agencies        
Financial Assets:        
Debt securities held-to-maturity, net 31 32    
Fair Value | Level 3 | Securities in wholly owned statutory business trusts        
Financial Assets:        
Debt securities held-to-maturity, net $ 0 $ 0