2561527564 has 24 divisors (see below), whose sum is σ = 4760486640. Its totient is φ = 1201837056.

The previous prime is 2561527537. The next prime is 2561527567. The reversal of 2561527564 is 4657251652.

2561527564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×2561527564⁴ (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2561527564.

It is not an unprimeable number, because it can be changed into a prime (2561527567) 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, 32974 + ... + 78805.

It is an arithmetic number, because the mean of its divisors is an integer number (198353610).

Almost surely, 2^2561527564 is an apocalyptic number.

It is an amenable number.

2561527564 is a deficient number, since it is larger than the sum of its proper divisors (2198959076).

2561527564 is a wasteful number, since it uses less digits than its factorization.

2561527564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112137 (or 112135 counting only the distinct ones).

The product of its digits is 504000, while the sum is 43.

The square root of 2561527564 is about 50611.5358786907. The cubic root of 2561527564 is about 1368.2527967496.

The spelling of 2561527564 in words is "two billion, five hundred sixty-one million, five hundred twenty-seven thousand, five hundred sixty-four".