Palindromic Cube with Non-Palindromic Root

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Theorem

The only known palindromic cube with a root that is not itself palindromic is $10 \, 662 \, 526 \, 601$.


Proof

We have that:

$10 \, 662 \, 526 \, 601 = 2201^3$

There are no others whose cube root is below $10^{15}$.


Sources