257120667 has 6 divisors (see below), whose sum is σ = 371396532. Its totient is φ = 171413772.

The previous prime is 257120653. The next prime is 257120683. The reversal of 257120667 is 766021752.

257120667 is a `hidden beast` number, since 2 + 571 + 20 + 6 + 67 = 666.

It is not a de Polignac number, because 257120667 - 2¹⁴ = 257104283 is a prime.

It is a super-2 number, since 2×257120667² = 132222074797049778, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (257120167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14284473 + ... + 14284490.

It is an arithmetic number, because the mean of its divisors is an integer number (61899422).

Almost surely, 2^257120667 is an apocalyptic number.

257120667 is a deficient number, since it is larger than the sum of its proper divisors (114275865).

257120667 is a wasteful number, since it uses less digits than its factorization.

257120667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28568969 (or 28568966 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 257120667 is about 16034.9826005518. The cubic root of 257120667 is about 635.8856074671.

The spelling of 257120667 in words is "two hundred fifty-seven million, one hundred twenty thousand, six hundred sixty-seven".