257536057 has 2 divisors, whose sum is σ = 257536058. Its totient is φ = 257536056.

The previous prime is 257536039. The next prime is 257536079. The reversal of 257536057 is 750635752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 183765136 + 73770921 = 13556^2 + 8589^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-257536057 is a prime.

It is not a weakly prime, because it can be changed into another prime (257536157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128768028 + 128768029.

It is an arithmetic number, because the mean of its divisors is an integer number (128768029).

Almost surely, 2^257536057 is an apocalyptic number.

It is an amenable number.

257536057 is a deficient number, since it is larger than the sum of its proper divisors (1).

257536057 is an equidigital number, since it uses as much as digits as its factorization.

257536057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 220500, while the sum is 40.

The square root of 257536057 is about 16047.9299911235. The cubic root of 257536057 is about 636.2278571580.

The spelling of 257536057 in words is "two hundred fifty-seven million, five hundred thirty-six thousand, fifty-seven".