Percy Jackson: Son of Hades - Prince of the Underworld

An orphan gets reincarnated as the Son of Hades, as his mother a powerful witch, with such a powerful lineage how will his fair in the Percy Jackson Universe, well read and Find out.
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Fair warning I'm closely following the books, while changing some things like how strong their abilities actually are and how strong the God's actually are since they're in fact Gods and stuff.