257946131 has 2 divisors, whose sum is σ = 257946132. Its totient is φ = 257946130.

The previous prime is 257946103. The next prime is 257946137. The reversal of 257946131 is 131649752.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 257946131 - 2⁶ = 257946067 is a prime.

It is a super-2 number, since 2×257946131² = 133072412995738322, which contains 22 as substring.

It is a Sophie Germain prime.

It is not a weakly prime, because it can be changed into another prime (257946137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128973065 + 128973066.

It is an arithmetic number, because the mean of its divisors is an integer number (128973066).

Almost surely, 2^257946131 is an apocalyptic number.

257946131 is a deficient number, since it is larger than the sum of its proper divisors (1).

257946131 is an equidigital number, since it uses as much as digits as its factorization.

257946131 is an evil number, because the sum of its binary digits is even.

The product of its digits is 45360, while the sum is 38.

The square root of 257946131 is about 16060.7014479443. The cubic root of 257946131 is about 636.5653660757.

The spelling of 257946131 in words is "two hundred fifty-seven million, nine hundred forty-six thousand, one hundred thirty-one".