257970065 has 16 divisors (see below), whose sum is σ = 320733696. Its totient is φ = 198979200.

The previous prime is 257970023. The next prime is 257970067. The reversal of 257970065 is 560079752.

257970065 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 257970065 - 2¹⁴ = 257953681 is a prime.

It is a super-2 number, since 2×257970065² = 133097108872208450, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257970067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40925 + ... + 46805.

It is an arithmetic number, because the mean of its divisors is an integer number (20045856).

Almost surely, 2^257970065 is an apocalyptic number.

It is an amenable number.

257970065 is a deficient number, since it is larger than the sum of its proper divisors (62763631).

257970065 is a wasteful number, since it uses less digits than its factorization.

257970065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6200.

The product of its (nonzero) digits is 132300, while the sum is 41.

The square root of 257970065 is about 16061.4465413300. The cubic root of 257970065 is about 636.5850537578.

The spelling of 257970065 in words is "two hundred fifty-seven million, nine hundred seventy thousand, sixty-five".