257363957 has 2 divisors, whose sum is σ = 257363958. Its totient is φ = 257363956.

The previous prime is 257363917. The next prime is 257363983. The reversal of 257363957 is 759363752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 241926916 + 15437041 = 15554^2 + 3929^2 .

It is a cyclic number.

It is not a de Polignac number, because 257363957 - 2¹⁰ = 257362933 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257363917) 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, 128681978 + 128681979.

It is an arithmetic number, because the mean of its divisors is an integer number (128681979).

Almost surely, 2^257363957 is an apocalyptic number.

It is an amenable number.

257363957 is a deficient number, since it is larger than the sum of its proper divisors (1).

257363957 is an equidigital number, since it uses as much as digits as its factorization.

257363957 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1190700, while the sum is 47.

The square root of 257363957 is about 16042.5670327414. The cubic root of 257363957 is about 636.0861045626.

The spelling of 257363957 in words is "two hundred fifty-seven million, three hundred sixty-three thousand, nine hundred fifty-seven".