256510117411511 has 8 divisors (see below), whose sum is σ = 256533751899600. Its totient is φ = 256486483514880.

The previous prime is 256510117411501. The next prime is 256510117411567. The reversal of 256510117411511 is 115114711015652.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-256510117411511 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256510117411501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1794471080 + ... + 1794614018.

It is an arithmetic number, because the mean of its divisors is an integer number (32066718987450).

Almost surely, 2^{256510117411511} is an apocalyptic number.

256510117411511 is a deficient number, since it is larger than the sum of its proper divisors (23634488089).

256510117411511 is a wasteful number, since it uses less digits than its factorization.

256510117411511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295729.

The product of its (nonzero) digits is 42000, while the sum is 41.

The spelling of 256510117411511 in words is "two hundred fifty-six trillion, five hundred ten billion, one hundred seventeen million, four hundred eleven thousand, five hundred eleven".