256402412511 has 16 divisors (see below), whose sum is σ = 390798872064. Its totient is φ = 146481751584.

The previous prime is 256402412509. The next prime is 256402412527. The reversal of 256402412511 is 115214204652.

It is a happy number.

It is not a de Polignac number, because 256402412511 - 2¹ = 256402412509 is a prime.

It is a super-2 number, since 2×256402412511² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256402412551) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1320000 + ... + 1501733.

It is an arithmetic number, because the mean of its divisors is an integer number (24424929504).

Almost surely, 2^256402412511 is an apocalyptic number.

256402412511 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

256402412511 is a deficient number, since it is larger than the sum of its proper divisors (134396459553).

256402412511 is a wasteful number, since it uses less digits than its factorization.

256402412511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2826070.

The product of its (nonzero) digits is 19200, while the sum is 33.

The spelling of 256402412511 in words is "two hundred fifty-six billion, four hundred two million, four hundred twelve thousand, five hundred eleven".