257688263 has 8 divisors (see below), whose sum is σ = 300767232. Its totient is φ = 216175896.

The previous prime is 257688257. The next prime is 257688271. The reversal of 257688263 is 362886752.

It is a happy number.

257688263 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 257688263 - 2⁴ = 257688247 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257688463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 391295 + ... + 391952.

It is an arithmetic number, because the mean of its divisors is an integer number (37595904).

Almost surely, 2^257688263 is an apocalyptic number.

257688263 is a deficient number, since it is larger than the sum of its proper divisors (43078969).

257688263 is an equidigital number, since it uses as much as digits as its factorization.

257688263 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783301.

The product of its digits is 967680, while the sum is 47.

The square root of 257688263 is about 16052.6715222109. The cubic root of 257688263 is about 636.3531711656.

The spelling of 257688263 in words is "two hundred fifty-seven million, six hundred eighty-eight thousand, two hundred sixty-three".