257413307 has 2 divisors, whose sum is σ = 257413308. Its totient is φ = 257413306.

The previous prime is 257413291. The next prime is 257413319. The reversal of 257413307 is 703314752.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 257413307 - 2⁴ = 257413291 is a prime.

It is a super-2 number, since 2×257413307² = 132523221241352498, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (257413327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128706653 + 128706654.

It is an arithmetic number, because the mean of its divisors is an integer number (128706654).

Almost surely, 2^257413307 is an apocalyptic number.

257413307 is a deficient number, since it is larger than the sum of its proper divisors (1).

257413307 is an equidigital number, since it uses as much as digits as its factorization.

257413307 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17640, while the sum is 32.

The square root of 257413307 is about 16044.1050545052. The cubic root of 257413307 is about 636.1267588477.

The spelling of 257413307 in words is "two hundred fifty-seven million, four hundred thirteen thousand, three hundred seven".