257567213 has 2 divisors, whose sum is σ = 257567214. Its totient is φ = 257567212.

The previous prime is 257567203. The next prime is 257567237. The reversal of 257567213 is 312765752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 244046884 + 13520329 = 15622^2 + 3677^2 .

It is a cyclic number.

It is not a de Polignac number, because 257567213 - 2¹⁰ = 257566189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257567203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128783606 + 128783607.

It is an arithmetic number, because the mean of its divisors is an integer number (128783607).

Almost surely, 2^257567213 is an apocalyptic number.

It is an amenable number.

257567213 is a deficient number, since it is larger than the sum of its proper divisors (1).

257567213 is an equidigital number, since it uses as much as digits as its factorization.

257567213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 88200, while the sum is 38.

The square root of 257567213 is about 16048.9006788627. The cubic root of 257567213 is about 636.2535124857.

The spelling of 257567213 in words is "two hundred fifty-seven million, five hundred sixty-seven thousand, two hundred thirteen".