Fame is a relative thing, but , yes- US presidents remain celebrities for all of their lives. They and their wives and children are always newsworthy at least to some extent.
When Washington was in office since there were no ex presidents.
No, ex-presidents are not allowed to use the presidential seal for personal or official purposes.
Yes, there is a pension paid to ex-presidents.
Camera Three - 1955 What to Do with Ex-Presidents 5-44 was released on: USA: 3 July 1960
The four living US ex-presidents are Jimmy Carter, George H. W. Bush , Bill Clinton and George W. Bush.
The presidents
Obama
12
There is no fixed pension, but widows of ex-presidents usually are awarded some money if they need it.
Yes, all ex-Presidents receive Secret Service protection.
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They get four years then there is a re-election then they can win another four years