257402413 has 2 divisors, whose sum is σ = 257402414. Its totient is φ = 257402412.

The previous prime is 257402399. The next prime is 257402419. The reversal of 257402413 is 314204752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 253860489 + 3541924 = 15933^2 + 1882^2 .

It is a cyclic number.

It is not a de Polignac number, because 257402413 - 2⁵ = 257402381 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257402419) 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, 128701206 + 128701207.

It is an arithmetic number, because the mean of its divisors is an integer number (128701207).

Almost surely, 2^257402413 is an apocalyptic number.

It is an amenable number.

257402413 is a deficient number, since it is larger than the sum of its proper divisors (1).

257402413 is an equidigital number, since it uses as much as digits as its factorization.

257402413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 257402413 is about 16043.7655492718. The cubic root of 257402413 is about 636.1177848715.

The spelling of 257402413 in words is "two hundred fifty-seven million, four hundred two thousand, four hundred thirteen".