257057161 has 2 divisors, whose sum is σ = 257057162. Its totient is φ = 257057160.

The previous prime is 257057123. The next prime is 257057173. The reversal of 257057161 is 161750752.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 219602761 + 37454400 = 14819^2 + 6120^2 .

It is a cyclic number.

It is not a de Polignac number, because 257057161 - 2¹⁵ = 257024393 is a prime.

It is not a weakly prime, because it can be changed into another prime (257057191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128528580 + 128528581.

It is an arithmetic number, because the mean of its divisors is an integer number (128528581).

Almost surely, 2^257057161 is an apocalyptic number.

It is an amenable number.

257057161 is a deficient number, since it is larger than the sum of its proper divisors (1).

257057161 is an equidigital number, since it uses as much as digits as its factorization.

257057161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14700, while the sum is 34.

The square root of 257057161 is about 16033.0022453688. The cubic root of 257057161 is about 635.8332508869.

The spelling of 257057161 in words is "two hundred fifty-seven million, fifty-seven thousand, one hundred sixty-one".