I've been looking for one for a while now. $600 is on the low end of what I see, especially for a real Sweet Sixteen but it's hard to say. Fair condition would make that probably a fair price, not a steal.
Browning made the Auto 5 in 16ga, but not all of them were actually marked "Sweet Sixteen". That makes it a bit more desirable.
Did it have a gold plated trigger also?
That
usually means it was the Lightweight, made after 1947 but not necessarily.
As a baseline I saw a 95% example sell for a bit over $1600.
95701 is likely the serial number, most of them had a 5 digit serial. Some say the 9 would indicate '69 but I've never been able to show for sure. On Sweet Sixteens the second digit is an S for guns made between 58 and 68.
The documentation is kinda fuzzy.
I would grab it in a heartbeat, that one has been on my "find one" list a long time.
If you decide not to get it please PM me with info on where it is