257065866232005 has 32 divisors (see below), whose sum is σ = 411923253389184. Its totient is φ = 136895849682176.

The previous prime is 257065866231961. The next prime is 257065866232117. The reversal of 257065866232005 is 500232668560752.

It is a cyclic number.

It is not a de Polignac number, because 257065866232005 - 2⁷ = 257065866231877 is a prime.

It is a super-2 number, since 2×257065866232005² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 434063902 + ... + 434655728.

It is an arithmetic number, because the mean of its divisors is an integer number (12872601668412).

Almost surely, 2^{257065866232005} is an apocalyptic number.

It is an amenable number.

257065866232005 is a deficient number, since it is larger than the sum of its proper divisors (154857387157179).

257065866232005 is a wasteful number, since it uses less digits than its factorization.

257065866232005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635285.

The product of its (nonzero) digits is 36288000, while the sum is 57.

The spelling of 257065866232005 in words is "two hundred fifty-seven trillion, sixty-five billion, eight hundred sixty-six million, two hundred thirty-two thousand, five".