257336416957 has 2 divisors, whose sum is σ = 257336416958. Its totient is φ = 257336416956.

The previous prime is 257336416937. The next prime is 257336416969. The reversal of 257336416957 is 759614633752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 166128792921 + 91207624036 = 407589^2 + 302006^2 .

It is a cyclic number.

It is not a de Polignac number, because 257336416957 - 2⁷ = 257336416829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257336416907) 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, 128668208478 + 128668208479.

It is an arithmetic number, because the mean of its divisors is an integer number (128668208479).

Almost surely, 2^257336416957 is an apocalyptic number.

It is an amenable number.

257336416957 is a deficient number, since it is larger than the sum of its proper divisors (1).

257336416957 is an equidigital number, since it uses as much as digits as its factorization.

257336416957 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 28576800, while the sum is 58.

The spelling of 257336416957 in words is "two hundred fifty-seven billion, three hundred thirty-six million, four hundred sixteen thousand, nine hundred fifty-seven".