257525507251 has 2 divisors, whose sum is σ = 257525507252. Its totient is φ = 257525507250.

The previous prime is 257525507227. The next prime is 257525507263. The reversal of 257525507251 is 152705525752.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 257525507251 - 2³⁵ = 223165768883 is a prime.

It is not a weakly prime, because it can be changed into another prime (257525507201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128762753625 + 128762753626.

It is an arithmetic number, because the mean of its divisors is an integer number (128762753626).

Almost surely, 2^257525507251 is an apocalyptic number.

257525507251 is a deficient number, since it is larger than the sum of its proper divisors (1).

257525507251 is an equidigital number, since it uses as much as digits as its factorization.

257525507251 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1225000, while the sum is 46.

The spelling of 257525507251 in words is "two hundred fifty-seven billion, five hundred twenty-five million, five hundred seven thousand, two hundred fifty-one".