A genuine 1851 Seated Liberty silver dollar is a rare date,
worth a few thousand dollars even in poor condition. If it's an
1851 Indian Head dollar, then what you have is a Chinese novelty
coin, and it's not worth anything.
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For the series of US Large cents (1793-1857), 1851 is the
highest mintage year and is not rare or even scarce. Coins in
average circulated condition have retail values of
$15.00-$50.00
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Please see the Related Question for a detailed answer.