257800513 has 2 divisors, whose sum is σ = 257800514. Its totient is φ = 257800512.

The previous prime is 257800511. The next prime is 257800541. The reversal of 257800513 is 315008752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 154330929 + 103469584 = 12423^2 + 10172^2 .

It is a cyclic number.

It is not a de Polignac number, because 257800513 - 2¹ = 257800511 is a prime.

It is a super-2 number, since 2×257800513² = 132922209006126338, which contains 22 as substring.

Together with 257800511, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (257800511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128900256 + 128900257.

It is an arithmetic number, because the mean of its divisors is an integer number (128900257).

Almost surely, 2^257800513 is an apocalyptic number.

It is an amenable number.

257800513 is a deficient number, since it is larger than the sum of its proper divisors (1).

257800513 is an equidigital number, since it uses as much as digits as its factorization.

257800513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 257800513 is about 16056.1674443187. The cubic root of 257800513 is about 636.4455570499.

The spelling of 257800513 in words is "two hundred fifty-seven million, eight hundred thousand, five hundred thirteen".