257713757 has 16 divisors (see below), whose sum is σ = 304668672. Its totient is φ = 213323760.

The previous prime is 257713751. The next prime is 257713783. The reversal of 257713757 is 757317752.

It is a cyclic number.

It is not a de Polignac number, because 257713757 - 2²⁰ = 256665181 is a prime.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257713751) 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 in 15 ways as a sum of consecutive naturals, for example, 138608 + ... + 140454.

It is an arithmetic number, because the mean of its divisors is an integer number (19041792).

Almost surely, 2^257713757 is an apocalyptic number.

It is an amenable number.

257713757 is a deficient number, since it is larger than the sum of its proper divisors (46954915).

257713757 is a wasteful number, since it uses less digits than its factorization.

257713757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2528.

The product of its digits is 360150, while the sum is 44.

The square root of 257713757 is about 16053.4655760057. The cubic root of 257713757 is about 636.3741560209.

The spelling of 257713757 in words is "two hundred fifty-seven million, seven hundred thirteen thousand, seven hundred fifty-seven".