257264496031 has 2 divisors, whose sum is σ = 257264496032. Its totient is φ = 257264496030.

The previous prime is 257264496029. The next prime is 257264496059. The reversal of 257264496031 is 130694462752.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 257264496031 - 2¹ = 257264496029 is a prime.

It is a super-2 number, since 2×257264496031² (a number of 24 digits) contains 22 as substring.

Together with 257264496029, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257264491031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128632248015 + 128632248016.

It is an arithmetic number, because the mean of its divisors is an integer number (128632248016).

Almost surely, 2^257264496031 is an apocalyptic number.

257264496031 is a deficient number, since it is larger than the sum of its proper divisors (1).

257264496031 is an equidigital number, since it uses as much as digits as its factorization.

257264496031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2177280, while the sum is 49.

The spelling of 257264496031 in words is "two hundred fifty-seven billion, two hundred sixty-four million, four hundred ninety-six thousand, thirty-one".