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I'm going to look at a Ape MP600 tomorrow. I don't see anywhere where it explains the difference between a 500 and a 501, and also the 600 and the 601 can anybody help?

It looks like that differences are only aesthetical. The rounded front fender has been changed into a squared one and the thin board in front has been changed into a plastic one. Engine should be the same, still the 190cc.
Exactely the same changes have been made for the 501 version. The gear box could be a little bit different as it has been strengthened.
You can find explanations here, in italian ...

I'm just learning how to use this form so I apologize if I'm not posting correctly, I have a second question if I tow it has anybody towed these with the front wheel off the ground and the gearbox and neutral? Would you think that would be a problem?

All you need to understand the differences you'll find on my website in the Parts & Manuals section - Ken - https://www.kjjohnson.ca/piaggio/information.php -