257690313 has 6 divisors (see below), whose sum is σ = 372219354. Its totient is φ = 171793536.

The previous prime is 257690281. The next prime is 257690341. The reversal of 257690313 is 313096752.

257690313 is a `hidden beast` number, since 257 + 6 + 90 + 313 = 666.

257690313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 197037369 + 60652944 = 14037^2 + 7788^2 .

It is not a de Polignac number, because 257690313 - 2⁵ = 257690281 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (257690393) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14316120 + ... + 14316137.

It is an arithmetic number, because the mean of its divisors is an integer number (62036559).

Almost surely, 2^257690313 is an apocalyptic number.

It is an amenable number.

257690313 is a deficient number, since it is larger than the sum of its proper divisors (114529041).

257690313 is a wasteful number, since it uses less digits than its factorization.

257690313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28632263 (or 28632260 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 257690313 is about 16052.7353743840. The cubic root of 257690313 is about 636.3548586316.

The spelling of 257690313 in words is "two hundred fifty-seven million, six hundred ninety thousand, three hundred thirteen".