2561888331 has 20 divisors (see below), whose sum is σ = 3864921984. Its totient is φ = 1691010000.

The previous prime is 2561888317. The next prime is 2561888339. The reversal of 2561888331 is 1338881652.

2561888331 is a `hidden beast` number, since 2 + 561 + 8 + 8 + 83 + 3 + 1 = 666.

It is not a de Polignac number, because 2561888331 - 2²³ = 2553499723 is a prime.

It is a super-2 number, since 2×2561888331² = 13126543641027931122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2561888339) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 148395 + ... + 164756.

Almost surely, 2^2561888331 is an apocalyptic number.

2561888331 is a deficient number, since it is larger than the sum of its proper divisors (1303033653).

2561888331 is a wasteful number, since it uses less digits than its factorization.

2561888331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313264 (or 313255 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 2561888331 is about 50615.0998319671. The cubic root of 2561888331 is about 1368.3170289017.

The spelling of 2561888331 in words is "two billion, five hundred sixty-one million, eight hundred eighty-eight thousand, three hundred thirty-one".