More digital silliness

[David W. Wilson]

Let an n-digit number be valid if it does not start or end with 0.

 

Let a rotation of n be gotten by rotating its digits. Thus the rotations of
256 are 256, 562 and 625.

 

We note that 256 has two valid square rotations, 256 and 625.

 

Is there a number with more than two valid square rotations?

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