| Next prime | 6551 |
| Previous prime | 6529 |
| Octal | (14623)8 |
| Hexadecimal | (1993)16 |
| Prime gap | 4 |
| 93rd Prime triplet (the smallest number) | The others are 6551 and 6553 . |
| 147th Cousin prime (the small number) | The big number is 6551 . |
| 303rd Sexy prime (the small number) | The big number is 6553 . |
| 417th Prime of the Form 3n+1 | 802 + 3 * 72 |
| 428th Prime of the Form 4n+3 | |
| 118th Left-truncatable prime |