257672571014399 has 2 divisors, whose sum is σ = 257672571014400. Its totient is φ = 257672571014398.

The previous prime is 257672571014377. The next prime is 257672571014561. The reversal of 257672571014399 is 993410175276752.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-257672571014399 is a prime.

It is a Sophie Germain prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257672571014329) 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, 128836285507199 + 128836285507200.

It is an arithmetic number, because the mean of its divisors is an integer number (128836285507200).

Almost surely, 2^{257672571014399} is an apocalyptic number.

257672571014399 is a deficient number, since it is larger than the sum of its proper divisors (1).

257672571014399 is an equidigital number, since it uses as much as digits as its factorization.

257672571014399 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 200037600, while the sum is 68.

The spelling of 257672571014399 in words is "two hundred fifty-seven trillion, six hundred seventy-two billion, five hundred seventy-one million, fourteen thousand, three hundred ninety-nine".