257359657 has 2 divisors, whose sum is σ = 257359658. Its totient is φ = 257359656.

The previous prime is 257359637. The next prime is 257359667. The reversal of 257359657 is 756953752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 239135296 + 18224361 = 15464^2 + 4269^2 .

It is a cyclic number.

It is not a de Polignac number, because 257359657 - 2¹¹ = 257357609 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 257359657.

It is not a weakly prime, because it can be changed into another prime (257359607) 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, 128679828 + 128679829.

It is an arithmetic number, because the mean of its divisors is an integer number (128679829).

Almost surely, 2^257359657 is an apocalyptic number.

It is an amenable number.

257359657 is a deficient number, since it is larger than the sum of its proper divisors (1).

257359657 is an equidigital number, since it uses as much as digits as its factorization.

257359657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1984500, while the sum is 49.

The square root of 257359657 is about 16042.4330137296. The cubic root of 257359657 is about 636.0825619978.

The spelling of 257359657 in words is "two hundred fifty-seven million, three hundred fifty-nine thousand, six hundred fifty-seven".