257033713 has 2 divisors, whose sum is σ = 257033714. Its totient is φ = 257033712.

The previous prime is 257033701. The next prime is 257033723. The reversal of 257033713 is 317330752.

257033713 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 232501504 + 24532209 = 15248^2 + 4953^2 .

It is a cyclic number.

It is not a de Polignac number, because 257033713 - 2⁵ = 257033681 is a prime.

It is not a weakly prime, because it can be changed into another prime (257033723) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128516856 + 128516857.

It is an arithmetic number, because the mean of its divisors is an integer number (128516857).

Almost surely, 2^257033713 is an apocalyptic number.

It is an amenable number.

257033713 is a deficient number, since it is larger than the sum of its proper divisors (1).

257033713 is an equidigital number, since it uses as much as digits as its factorization.

257033713 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13230, while the sum is 31.

The square root of 257033713 is about 16032.2709869812. The cubic root of 257033713 is about 635.8139173511.

The spelling of 257033713 in words is "two hundred fifty-seven million, thirty-three thousand, seven hundred thirteen".