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Fair value measurement - Assets and liabilities measured at fair value on a recurring basis (Details) - USD ($)
$ in Thousands
Jun. 30, 2019
Dec. 31, 2018
Jun. 30, 2018
Dec. 31, 2017
Assets        
Debt securities available-for-sale, at fair value $ 16,734,722 $ 13,300,184    
Trading account debt securities, excluding derivatives 35,623 37,787    
Mortgage servicing rights 153,021 169,777 $ 164,025 $ 168,031
Recurring        
Assets        
Debt securities available-for-sale, at fair value 16,734,722 13,300,184    
Trading account debt securities, excluding derivatives 35,623 37,787    
Equity securities at fair value 19,206 13,296    
Mortgage servicing rights 153,021 169,777    
Derivatives 14,792 13,603    
Total 16,957,364 13,534,647    
Liabilities        
Derivatives (14,233) (12,320)    
Total (14,233) (12,320)    
Recurring | US Treasury Securities        
Assets        
Debt securities available-for-sale, at fair value 10,491,664 8,272,196    
Trading account debt securities, excluding derivatives 3,281 6,278    
Recurring | Obligations of U.S. Government sponsored entities        
Assets        
Debt securities available-for-sale, at fair value 245,947 333,309    
Recurring | Obligations of Puerto Rico, States and political subdivisions        
Assets        
Debt securities available-for-sale, at fair value 6,878 6,742    
Trading account debt securities, excluding derivatives 133 134    
Recurring | Collateralized Mortgage Obligations - Federal agencies        
Assets        
Debt securities available-for-sale, at fair value 671,168 728,671    
Recurring | Mortgage Backed Securities        
Assets        
Debt securities available-for-sale, at fair value 5,318,661 3,958,778    
Trading account debt securities, excluding derivatives 28,041 27,257    
Recurring | Other        
Assets        
Debt securities available-for-sale, at fair value 404 488    
Trading account debt securities, excluding derivatives 3,470 3,459    
Recurring | CMO        
Assets        
Trading account debt securities, excluding derivatives 698 659    
Recurring | Level 1        
Assets        
Debt securities available-for-sale, at fair value 5,130,255 2,719,740    
Trading account debt securities, excluding derivatives 3,279 6,278    
Equity securities at fair value 0 0    
Mortgage servicing rights 0 0    
Derivatives 0 0    
Total 5,133,534 2,726,018    
Liabilities        
Derivatives 0 0    
Total 0 0    
Recurring | Level 1 | US Treasury Securities        
Assets        
Debt securities available-for-sale, at fair value 5,130,255 2,719,740    
Trading account debt securities, excluding derivatives 3,279 6,278    
Recurring | Level 1 | Obligations of U.S. Government sponsored entities        
Assets        
Debt securities available-for-sale, at fair value 0 0    
Recurring | Level 1 | Obligations of Puerto Rico, States and political subdivisions        
Assets        
Debt securities available-for-sale, at fair value 0 0    
Trading account debt securities, excluding derivatives 0 0    
Recurring | Level 1 | Collateralized Mortgage Obligations - Federal agencies        
Assets        
Debt securities available-for-sale, at fair value 0 0    
Recurring | Level 1 | Mortgage Backed Securities        
Assets        
Debt securities available-for-sale, at fair value 0 0    
Trading account debt securities, excluding derivatives 0 0    
Recurring | Level 1 | Other        
Assets        
Debt securities available-for-sale, at fair value 0 0    
Trading account debt securities, excluding derivatives 0 0    
Recurring | Level 1 | CMO        
Assets        
Trading account debt securities, excluding derivatives 0 0    
Recurring | Level 2        
Assets        
Debt securities available-for-sale, at fair value 11,603,232 10,579,211    
Trading account debt securities, excluding derivatives 31,232 30,370    
Equity securities at fair value 19,206 13,296    
Mortgage servicing rights 0 0    
Derivatives 14,792 13,603    
Total 11,668,462 10,636,480    
Liabilities        
Derivatives (14,233) (12,320)    
Total (14,233) (12,320)    
Recurring | Level 2 | US Treasury Securities        
Assets        
Debt securities available-for-sale, at fair value 5,361,409 5,552,456    
Trading account debt securities, excluding derivatives 2 0    
Recurring | Level 2 | Obligations of U.S. Government sponsored entities        
Assets        
Debt securities available-for-sale, at fair value 245,947 333,309    
Recurring | Level 2 | Obligations of Puerto Rico, States and political subdivisions        
Assets        
Debt securities available-for-sale, at fair value 6,878 6,742    
Trading account debt securities, excluding derivatives 133 134    
Recurring | Level 2 | Collateralized Mortgage Obligations - Federal agencies        
Assets        
Debt securities available-for-sale, at fair value 671,168 728,671    
Recurring | Level 2 | Mortgage Backed Securities        
Assets        
Debt securities available-for-sale, at fair value 5,317,426 3,957,545    
Trading account debt securities, excluding derivatives 28,015 27,214    
Recurring | Level 2 | Other        
Assets        
Debt securities available-for-sale, at fair value 404 488    
Trading account debt securities, excluding derivatives 3,002 2,974    
Recurring | Level 2 | CMO        
Assets        
Trading account debt securities, excluding derivatives 80 48    
Recurring | Level 3        
Assets        
Debt securities available-for-sale, at fair value 1,235 1,233    
Trading account debt securities, excluding derivatives 1,112 1,139    
Equity securities at fair value 0 0    
Mortgage servicing rights 153,021 169,777    
Derivatives 0 0    
Total 155,368 172,149    
Liabilities        
Derivatives 0 0    
Total 0 0    
Recurring | Level 3 | US Treasury Securities        
Assets        
Debt securities available-for-sale, at fair value 0 0    
Trading account debt securities, excluding derivatives 0 0    
Recurring | Level 3 | Obligations of U.S. Government sponsored entities        
Assets        
Debt securities available-for-sale, at fair value 0 0    
Recurring | Level 3 | Obligations of Puerto Rico, States and political subdivisions        
Assets        
Debt securities available-for-sale, at fair value 0 0    
Trading account debt securities, excluding derivatives 0 0    
Recurring | Level 3 | Collateralized Mortgage Obligations - Federal agencies        
Assets        
Debt securities available-for-sale, at fair value 0 0    
Recurring | Level 3 | Mortgage Backed Securities        
Assets        
Debt securities available-for-sale, at fair value 1,235 1,233    
Trading account debt securities, excluding derivatives 26 43    
Recurring | Level 3 | Other        
Assets        
Debt securities available-for-sale, at fair value 0 0    
Trading account debt securities, excluding derivatives 468 485    
Recurring | Level 3 | CMO        
Assets        
Trading account debt securities, excluding derivatives $ 618 $ 611