257251111331 has 2 divisors, whose sum is σ = 257251111332. Its totient is φ = 257251111330.

The previous prime is 257251111297. The next prime is 257251111493. The reversal of 257251111331 is 133111152752.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 257251111331 - 2³⁰ = 256177369507 is a prime.

It is a super-2 number, since 2×257251111331² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (257251111631) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128625555665 + 128625555666.

It is an arithmetic number, because the mean of its divisors is an integer number (128625555666).

Almost surely, 2^257251111331 is an apocalyptic number.

257251111331 is a deficient number, since it is larger than the sum of its proper divisors (1).

257251111331 is an equidigital number, since it uses as much as digits as its factorization.

257251111331 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6300, while the sum is 32.

The spelling of 257251111331 in words is "two hundred fifty-seven billion, two hundred fifty-one million, one hundred eleven thousand, three hundred thirty-one".