257991107 has 4 divisors (see below), whose sum is σ = 281444856. Its totient is φ = 234537360.

The previous prime is 257991073. The next prime is 257991113. The reversal of 257991107 is 701199752.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 257991107 - 2⁸ = 257990851 is a prime.

It is a super-2 number, since 2×257991107² = 133118822582170898, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (257991137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11726858 + ... + 11726879.

It is an arithmetic number, because the mean of its divisors is an integer number (70361214).

Almost surely, 2^257991107 is an apocalyptic number.

257991107 is a deficient number, since it is larger than the sum of its proper divisors (23453749).

257991107 is a wasteful number, since it uses less digits than its factorization.

257991107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23453748.

The product of its (nonzero) digits is 39690, while the sum is 41.

The square root of 257991107 is about 16062.1015748251. The cubic root of 257991107 is about 636.6023615263.

The spelling of 257991107 in words is "two hundred fifty-seven million, nine hundred ninety-one thousand, one hundred seven".