257164465 has 8 divisors (see below), whose sum is σ = 308689128. Its totient is φ = 205670400.

The previous prime is 257164451. The next prime is 257164519. The reversal of 257164465 is 564461752.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 67634176 + 189530289 = 8224^2 + 13767^2 .

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

It is not a de Polignac number, because 257164465 - 2⁵ = 257164433 is a prime.

It is a super-2 number, since 2×257164465² = 132267124117472450, which contains 22 as substring.

It is a Duffinian number.

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, 19815 + ... + 30115.

It is an arithmetic number, because the mean of its divisors is an integer number (38586141).

Almost surely, 2^257164465 is an apocalyptic number.

It is an amenable number.

257164465 is a deficient number, since it is larger than the sum of its proper divisors (51524663).

257164465 is a wasteful number, since it uses less digits than its factorization.

257164465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15299.

The product of its digits is 201600, while the sum is 40.

The square root of 257164465 is about 16036.3482439114. The cubic root of 257164465 is about 635.9217110561.

The spelling of 257164465 in words is "two hundred fifty-seven million, one hundred sixty-four thousand, four hundred sixty-five".