257968031 has 2 divisors, whose sum is σ = 257968032. Its totient is φ = 257968030.

The previous prime is 257967989. The next prime is 257968037. The reversal of 257968031 is 130869752.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-257968031 is a prime.

It is a super-2 number, since 2×257968031² = 133095010036033922, which contains 22 as substring.

It is a Sophie Germain prime.

It is a self number, because there is not a number n which added to its sum of digits gives 257968031.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257968037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128984015 + 128984016.

It is an arithmetic number, because the mean of its divisors is an integer number (128984016).

Almost surely, 2^257968031 is an apocalyptic number.

257968031 is a deficient number, since it is larger than the sum of its proper divisors (1).

257968031 is an equidigital number, since it uses as much as digits as its factorization.

257968031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 90720, while the sum is 41.

The square root of 257968031 is about 16061.3832218772. The cubic root of 257968031 is about 636.5833806730.

The spelling of 257968031 in words is "two hundred fifty-seven million, nine hundred sixty-eight thousand, thirty-one".