257413673 has 8 divisors (see below), whose sum is σ = 280933536. Its totient is φ = 233913600.

The previous prime is 257413649. The next prime is 257413693. The reversal of 257413673 is 376314752.

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 257413673 - 2⁸ = 257413417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257413603) 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, 40265 + ... + 46217.

It is an arithmetic number, because the mean of its divisors is an integer number (35116692).

Almost surely, 2^257413673 is an apocalyptic number.

It is an amenable number.

257413673 is a deficient number, since it is larger than the sum of its proper divisors (23519863).

257413673 is a wasteful number, since it uses less digits than its factorization.

257413673 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9895.

The product of its digits is 105840, while the sum is 38.

The square root of 257413673 is about 16044.1164605596. The cubic root of 257413673 is about 636.1270603373.

The spelling of 257413673 in words is "two hundred fifty-seven million, four hundred thirteen thousand, six hundred seventy-three".