256507133064405 has 32 divisors (see below), whose sum is σ = 424810227663360. Its totient is φ = 132009681538560.

The previous prime is 256507133064361. The next prime is 256507133064517. The reversal of 256507133064405 is 504460331705652.

256507133064405 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 256507133064405 - 2⁷ = 256507133064277 is a prime.

It is a super-3 number, since 3×256507133064405³ (a number of 44 digits) contains 333 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, 170567917 + ... + 172065186.

It is an arithmetic number, because the mean of its divisors is an integer number (13275319614480).

Almost surely, 2^{256507133064405} is an apocalyptic number.

It is an amenable number.

256507133064405 is a deficient number, since it is larger than the sum of its proper divisors (168303094598955).

256507133064405 is a wasteful number, since it uses less digits than its factorization.

256507133064405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342634861.

The product of its (nonzero) digits is 9072000, while the sum is 51.

The spelling of 256507133064405 in words is "two hundred fifty-six trillion, five hundred seven billion, one hundred thirty-three million, sixty-four thousand, four hundred five".