431040354409957 has 2 divisors, whose sum is σ = 431040354409958. Its totient is φ = 431040354409956.

The previous prime is 431040354409871. The next prime is 431040354409963. The reversal of 431040354409957 is 759904453040134.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 420043344411681 + 10997009998276 = 20494959^2 + 3316174^2 .

It is a cyclic number.

It is not a de Polignac number, because 431040354409957 - 2¹⁵ = 431040354377189 is a prime.

It is a super-2 number, since 2×431040354409957² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (431040354409057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 215520177204978 + 215520177204979.

It is an arithmetic number, because the mean of its divisors is an integer number (215520177204979).

Almost surely, 2^{431040354409957} is an apocalyptic number.

It is an amenable number.

431040354409957 is a deficient number, since it is larger than the sum of its proper divisors (1).

431040354409957 is an equidigital number, since it uses as much as digits as its factorization.

431040354409957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32659200, while the sum is 58.

The spelling of 431040354409957 in words is "four hundred thirty-one trillion, forty billion, three hundred fifty-four million, four hundred nine thousand, nine hundred fifty-seven".