The Digits ABCABD

How many possible 6 digit numbers are there of the form \( N=\overline{abcabd} \) where \( a \neq 0, d \neq 0\), \(d = c + 1 \) and \( N \) is a perfect square?

Details and assumptions

The condition of \(a \neq 0 \) follows because we have a 6 digit number.
The condition of \( d \neq 0 \) follows because \( 0 \neq 9 + 1 \).

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