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|Millennium:||1st millennium BC|
|Centuries:||7th century BC – 6th century BC – 5th century BC|
|Decades:||540s BC 530s BC 520s BC – 510s BC – 500s BC 490s BC 480s BC|
|Years:||516 BC 515 BC 514 BC – 513 BC – 512 BC 511 BC 510 BC|
|513 BC by topic|
|Gregorian calendar||513 BC|
|Ab urbe condita||241|
|Ancient Egypt era||XXVII dynasty, 13|
|- Pharaoh||Darius I of Persia, 9|
|Ancient Greek era||66th Olympiad, year 4|
|Chinese calendar||丁亥年 (Fire Pig)
2184 or 2124
— to —
戊子年 (Earth Rat)
2185 or 2125
|Coptic calendar||−796 – −795|
|Ethiopian calendar||−520 – −519|
|- Vikram Samvat||−456 – −455|
|- Shaka Samvat||N/A|
|- Kali Yuga||2589–2590|
|Iranian calendar||1134 BP – 1133 BP|
|Islamic calendar||1169 BH – 1168 BH|
|Minguo calendar||2424 before ROC
|Thai solar calendar||30–31|
|Wikimedia Commons has media related to 513 BC.|
- Darius the Great subdues the Getae and east Thrace in his war against the Scythians. To accomplish this, he builds a massive pontoon bridge across the Bosphorus Strait.
- Western India, which includes the Indus Valley, becomes the Persian satrapy Hindush.
- Amyntas I of Macedon submits to Darius and offers women as concubines to a Persian embassy. Objecting to this, Alexander his son tricks them by substituting the women with clean-shaven men (or 512 BC).
- Borza, Eugene. In the Shadow of Olympus. Princeton: Princeton University, 1992. Web. 22 October 2014. 101.
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