What does Peturtius mean in Latin?

Peturtius, a proper noun, means “a Roman nomen gentile, gens or "family name"”.

What is the genitive of Peturtius?

The genitive singular is Peturtiī. Peturtius is masculine, second declension.

In classical Latin, [pɛˈtʊr.ti.ʊs]; in ecclesiastical (church) Latin, [peˈtur.t͡si.us].

proper noun · masculinesecond declension

Peturtius m sg (genitive Peturtiī or Peturtī)

Classical[pɛˈtʊr.ti.ʊs]Ecclesiastical[peˈtur.t͡si.us]

masculinesingulara Roman nomen gentile, gens or "family name"
EDCS-05200175. T(itus) Peturtius T(iti) f(ilius) / [3]aevena |(mulieris) l(iberta) /Salvilla / T(itus) Peturtius T(iti) f(ilius) / Primus / ⟦I[3]⟧ / in f(ronte) p(edes) XVI

Borrowed from an Osco-Umbrian descendant of Proto-Italic *kʷeturtos and affixed with -ius.