257829253 has 4 divisors (see below), whose sum is σ = 281268288. Its totient is φ = 234390220.

The previous prime is 257829223. The next prime is 257829269. The reversal of 257829253 is 352928752.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 257829253 - 2⁹ = 257828741 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 (257829203) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11719501 + ... + 11719522.

It is an arithmetic number, because the mean of its divisors is an integer number (70317072).

Almost surely, 2^257829253 is an apocalyptic number.

It is an amenable number.

257829253 is a deficient number, since it is larger than the sum of its proper divisors (23439035).

257829253 is a wasteful number, since it uses less digits than its factorization.

257829253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23439034.

The product of its digits is 302400, while the sum is 43.

The square root of 257829253 is about 16057.0624025692. The cubic root of 257829253 is about 636.4692068161.

The spelling of 257829253 in words is "two hundred fifty-seven million, eight hundred twenty-nine thousand, two hundred fifty-three".