How perfect is perfect? We need to see nice hi-rez photos of the front and back, to be able to give an opinion.
Actually over 280 million 1962-D nickels were minted. 280,195,720 If it has full steps (not likely) and is in MS condition (cough, cough) then it is very special. Johnson's middle name was Baines. It was his mother's maiden name.
Sorry to say that is worth a nickel. No where near full steps, and shows signs of circulation. There are also a couple of rim bumps. Not a D mint, it was minted in Philadelphia. Nicer than most 1962's you will find in circulation though and would be a nice one to save for a date set.
The steps are not full. Which need to be clearly defined and uninterrupted. I'm also not sure of the grade of your coin. I doubt it is mint state. But that could be the photo.