Going by the Bible, he was a priest-king ( Common to ancient Mesopotamia, they served as a mediator between god/s and man ), but in his case, without having been produced like a normal person, ( Intercourse )
If we were claiming that somehow all the other priest-kings before him were also magically produced with a virgin birth ( No such thing has ever been found in text ), it would sound a little silly
Whether or not he had sex, or had children is a matter of speculation, but, that said..
The lineage of deified kings ( Starting with Naram-Sin ) really seemed to die out right around the period of Chaldean captivity, 400-500 BC, (About the same time
Syriac Christianity took over ) yet the sacerdotal duties of the earlier priest-kings ( Mathematical astronomy ) continued in the lineage of Sin-Leqi-Unninni ( The scribe of Gilgamesh ) and his descendants until roughly 100 AD, at least as far as cuneiform records indicate
That same lineage, afaik, didn't reappear in text until the myth of the Quinotaur ( Which from sprang the lineage of Merovingian kings )