257064631 has 2 divisors, whose sum is σ = 257064632. Its totient is φ = 257064630.

The previous prime is 257064607. The next prime is 257064649. The reversal of 257064631 is 136460752.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 257064631 - 2¹⁹ = 256540343 is a prime.

It is a super-2 number, since 2×257064631² = 132164449022332322, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257061631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128532315 + 128532316.

It is an arithmetic number, because the mean of its divisors is an integer number (128532316).

Almost surely, 2^257064631 is an apocalyptic number.

257064631 is a deficient number, since it is larger than the sum of its proper divisors (1).

257064631 is an equidigital number, since it uses as much as digits as its factorization.

257064631 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 257064631 is about 16033.2352006699. The cubic root of 257064631 is about 635.8394098651.

The spelling of 257064631 in words is "two hundred fifty-seven million, sixty-four thousand, six hundred thirty-one".