432566625052657 has 2 divisors, whose sum is σ = 432566625052658. Its totient is φ = 432566625052656.

The previous prime is 432566625052651. The next prime is 432566625052699. The reversal of 432566625052657 is 756250526665234.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 425308293984016 + 7258331068641 = 20623004^2 + 2694129^2 .

It is a cyclic number.

It is not a de Polignac number, because 432566625052657 - 2³¹ = 432564477569009 is a prime.

It is a super-2 number, since 2×432566625052657² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (432566625052651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 216283312526328 + 216283312526329.

It is an arithmetic number, because the mean of its divisors is an integer number (216283312526329).

Almost surely, 2^{432566625052657} is an apocalyptic number.

It is an amenable number.

432566625052657 is a deficient number, since it is larger than the sum of its proper divisors (1).

432566625052657 is an equidigital number, since it uses as much as digits as its factorization.

432566625052657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 544320000, while the sum is 64.

The spelling of 432566625052657 in words is "four hundred thirty-two trillion, five hundred sixty-six billion, six hundred twenty-five million, fifty-two thousand, six hundred fifty-seven".