256516021241161 has 64 divisors (see below), whose sum is σ = 303441126912000. Its totient is φ = 214363733575680.

The previous prime is 256516021241101. The next prime is 256516021241209. The reversal of 256516021241161 is 161142120615652.

It is a cyclic number.

It is not a de Polignac number, because 256516021241161 - 2²⁵ = 256515987686729 is a prime.

It is a super-2 number, since 2×256516021241161² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (256516021241101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3324731961 + ... + 3324809113.

It is an arithmetic number, because the mean of its divisors is an integer number (4741267608000).

Almost surely, 2^{256516021241161} is an apocalyptic number.

It is an amenable number.

256516021241161 is a deficient number, since it is larger than the sum of its proper divisors (46925105670839).

256516021241161 is a wasteful number, since it uses less digits than its factorization.

256516021241161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80734.

The product of its (nonzero) digits is 172800, while the sum is 43.

The spelling of 256516021241161 in words is "two hundred fifty-six trillion, five hundred sixteen billion, twenty-one million, two hundred forty-one thousand, one hundred sixty-one".