Let N be a positive integer with an even number of decimal digits, say abcd...yz.

For how many N does a^b + c^d + ... + y^z? equal zy...dcba, that is, N with its digits reversed? One example is N=52, since 5^2 = 25.

[If 00 occurs, take its value as 1. Do not include any solutions ending with 00.]