257372813 has 2 divisors, whose sum is σ = 257372814. Its totient is φ = 257372812.

The previous prime is 257372761. The next prime is 257372821. The reversal of 257372813 is 318273752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 207994084 + 49378729 = 14422^2 + 7027^2 .

It is a cyclic number.

It is not a de Polignac number, because 257372813 - 2⁶ = 257372749 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257372873) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128686406 + 128686407.

It is an arithmetic number, because the mean of its divisors is an integer number (128686407).

Almost surely, 2^257372813 is an apocalyptic number.

It is an amenable number.

257372813 is a deficient number, since it is larger than the sum of its proper divisors (1).

257372813 is an equidigital number, since it uses as much as digits as its factorization.

257372813 is an evil number, because the sum of its binary digits is even.

The product of its digits is 70560, while the sum is 38.

The square root of 257372813 is about 16042.8430460439. The cubic root of 257372813 is about 636.0934004741.

The spelling of 257372813 in words is "two hundred fifty-seven million, three hundred seventy-two thousand, eight hundred thirteen".