257829263 has 16 divisors (see below), whose sum is σ = 273162240. Its totient is φ = 242990400.

The previous prime is 257829223. The next prime is 257829269. The reversal of 257829263 is 362928752.

It is not a de Polignac number, because 257829263 - 2²⁴ = 241052047 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257829269) 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, 452843 + ... + 453411.

It is an arithmetic number, because the mean of its divisors is an integer number (17072640).

Almost surely, 2^257829263 is an apocalyptic number.

257829263 is a deficient number, since it is larger than the sum of its proper divisors (15332977).

257829263 is a wasteful number, since it uses less digits than its factorization.

257829263 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958.

The product of its digits is 362880, while the sum is 44.

The square root of 257829263 is about 16057.0627139586. The cubic root of 257829263 is about 636.4692150447.

The spelling of 257829263 in words is "two hundred fifty-seven million, eight hundred twenty-nine thousand, two hundred sixty-three".