2565451656 has 64 divisors (see below), whose sum is σ = 7189387200. Its totient is φ = 847574784.

The previous prime is 2565451639. The next prime is 2565451661. The reversal of 2565451656 is 6561545652.

2565451656 is a `hidden beast` number, since 2 + 56 + 545 + 1 + 6 + 56 = 666.

2565451656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28146 + ... + 76961.

It is an arithmetic number, because the mean of its divisors is an integer number (112334175).

Almost surely, 2^2565451656 is an apocalyptic number.

It is an amenable number.

2565451656 is an abundant number, since it is smaller than the sum of its proper divisors (4623935544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2565451656 is a wasteful number, since it uses less digits than its factorization.

2565451656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105235 (or 105225 counting only the distinct ones).

The product of its digits is 1080000, while the sum is 45.

The square root of 2565451656 is about 50650.2878175435. The cubic root of 2565451656 is about 1368.9511314115.

The spelling of 2565451656 in words is "two billion, five hundred sixty-five million, four hundred fifty-one thousand, six hundred fifty-six".