257364413 has 2 divisors, whose sum is σ = 257364414. Its totient is φ = 257364412.

The previous prime is 257364409. The next prime is 257364467. The reversal of 257364413 is 314463752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 168948004 + 88416409 = 12998^2 + 9403^2 .

It is a cyclic number.

It is not a de Polignac number, because 257364413 - 2² = 257364409 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257364013) 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, 128682206 + 128682207.

It is an arithmetic number, because the mean of its divisors is an integer number (128682207).

Almost surely, 2^257364413 is an apocalyptic number.

It is an amenable number.

257364413 is a deficient number, since it is larger than the sum of its proper divisors (1).

257364413 is an equidigital number, since it uses as much as digits as its factorization.

257364413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 60480, while the sum is 35.

The square root of 257364413 is about 16042.5812449244. The cubic root of 257364413 is about 636.0864802369.

The spelling of 257364413 in words is "two hundred fifty-seven million, three hundred sixty-four thousand, four hundred thirteen".