257576345 has 8 divisors (see below), whose sum is σ = 332867976. Its totient is φ = 190210176.

The previous prime is 257576327. The next prime is 257576353. The reversal of 257576345 is 543675752.

It can be written as a sum of positive squares in 4 ways, for example, as 7557001 + 250019344 = 2749^2 + 15812^2 .

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

It is not a de Polignac number, because 257576345 - 2⁶ = 257576281 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 257576296 and 257576305.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1981292 + ... + 1981421.

It is an arithmetic number, because the mean of its divisors is an integer number (41608497).

Almost surely, 2^257576345 is an apocalyptic number.

It is an amenable number.

257576345 is a deficient number, since it is larger than the sum of its proper divisors (75291631).

257576345 is a wasteful number, since it uses less digits than its factorization.

257576345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3962731.

The product of its digits is 882000, while the sum is 44.

The square root of 257576345 is about 16049.1851818091. The cubic root of 257576345 is about 636.2610318154.

The spelling of 257576345 in words is "two hundred fifty-seven million, five hundred seventy-six thousand, three hundred forty-five".