His mom needs to put a foot in his azz so needless to say he needs a male role model.
I'd be REALLY careful about making assumptions like this. As Andrew said "DANGER WILL ROBINSON"!
There are a few possibilities here and right now you have no idea which assessment is correct, so hold back and observe and learn.
Is mom a total pushover because she doesn't have time for her child and makes up for it by not establishing boundaries? That's certainly possible but not necessarily the most likely option.
Does the son have undiagnosed or untreated ADHD? A distinct possibility from your description, although it's also possible he was just over-excited and a bit nervous
Could the son have Asperger's? Somewhat more of a risk with highly intelligent parents, think absent-minded professor type. They don't read social cues so might go on and on about something like dinosaurs or Star Trek and might do odd things to get a reaction from people because they lack the social skills to interact properly.
Is the kid just starved for attention? No dad time, little mom time, what's the nanny like? No playdates with friends from school it sounds like.
Or is it just a case of laissez faire parenting? Some parents have a philosophical parenting style (we used to call our friends' kids "feral children" ) of just not intervening much. It may or may not lead to issues down the line. (Our friends feral children grew up just fine actually). If she is entrenched in a philosophy like that it could be a problem as it is so different from your own parenting style.
