257673953 has 16 divisors (see below), whose sum is σ = 281648640. Its totient is φ = 234835200.

The previous prime is 257673919. The next prime is 257673973. The reversal of 257673953 is 359376752.

It is a cyclic number.

It is not a de Polignac number, because 257673953 - 2¹⁰ = 257672929 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 257673898 and 257673907.

It is not an unprimeable number, because it can be changed into a prime (257673973) 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, 105401 + ... + 107817.

It is an arithmetic number, because the mean of its divisors is an integer number (17603040).

Almost surely, 2^257673953 is an apocalyptic number.

It is an amenable number.

257673953 is a deficient number, since it is larger than the sum of its proper divisors (23974687).

257673953 is a wasteful number, since it uses less digits than its factorization.

257673953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2648.

The product of its digits is 1190700, while the sum is 47.

The square root of 257673953 is about 16052.2257958203. The cubic root of 257673953 is about 636.3413915805.

The spelling of 257673953 in words is "two hundred fifty-seven million, six hundred seventy-three thousand, nine hundred fifty-three".