| Centuries: | 5th century · 6th century · 7th century |
| Decades: | 480s 490s 500s 510s 520s 530s 540s |
| Years: | 510 511 512 513 514 515 516 |
| 513 by topic | |
| Politics | |
| State leaders – Sovereign states | |
| Birth and death categories | |
| Births – Deaths | |
| Establishment and disestablishment categories | |
| Establishments – Disestablishments | |
| Gregorian calendar | 513 DXIII |
| Ab urbe condita | 1266 |
| Armenian calendar | N/A |
| Bahá'í calendar | -1331 – -1330 |
| Bengali calendar | -80 |
| Berber calendar | 1463 |
| Buddhist calendar | 1057 |
| Burmese calendar | -125 |
| Byzantine calendar | 6021 – 6022 |
| Chinese calendar | 壬辰年十二月初九日 (3149/3209-12-9) — to —
癸巳年十一月十九日(3150/3210-11-19) |
| Coptic calendar | 229 – 230 |
| Ethiopian calendar | 505 – 506 |
| Hebrew calendar | 4273 – 4274 |
| Hindu calendars | |
| - Bikram Samwat | 569 – 570 |
| - Shaka Samvat | 435 – 436 |
| - Kali Yuga | 3614 – 3615 |
| Holocene calendar | 10513 |
| Iranian calendar | 109 BP – 108 BP |
| Islamic calendar | 112 BH – 111 BH |
| Japanese calendar | |
| Korean calendar | 2846 |
| Thai solar calendar | 1056 |