257668965 has 16 divisors (see below), whose sum is σ = 458078400. Its totient is φ = 137423376.

The previous prime is 257668963. The next prime is 257668979. The reversal of 257668965 is 569866752.

It is a happy number.

257668965 is a `hidden beast` number, since 2 + 576 + 6 + 8 + 9 + 65 = 666.

It is not a de Polignac number, because 257668965 - 2¹ = 257668963 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257668963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 954195 + ... + 954464.

It is an arithmetic number, because the mean of its divisors is an integer number (28629900).

Almost surely, 2^257668965 is an apocalyptic number.

It is an amenable number.

257668965 is a deficient number, since it is larger than the sum of its proper divisors (200409435).

257668965 is a wasteful number, since it uses less digits than its factorization.

257668965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908673 (or 1908667 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The square root of 257668965 is about 16052.0704272066. The cubic root of 257668965 is about 636.3372854982.

The spelling of 257668965 in words is "two hundred fifty-seven million, six hundred sixty-eight thousand, nine hundred sixty-five".