2561522013 has 12 divisors (see below), whose sum is σ = 3744555360. Its totient is φ = 1687106376.

The previous prime is 2561521999. The next prime is 2561522021. The reversal of 2561522013 is 3102251652.

It is a happy number.

2561522013 is a `hidden beast` number, since 25 + 615 + 2 + 20 + 1 + 3 = 666.

It is not a de Polignac number, because 2561522013 - 2⁵ = 2561521981 is a prime.

It is a super-2 number, since 2×2561522013² = 13122790046167144338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2561522023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1713793 + ... + 1715286.

It is an arithmetic number, because the mean of its divisors is an integer number (312046280).

Almost surely, 2^2561522013 is an apocalyptic number.

It is an amenable number.

2561522013 is a deficient number, since it is larger than the sum of its proper divisors (1183033347).

2561522013 is a wasteful number, since it uses less digits than its factorization.

2561522013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3429168 (or 3429165 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 2561522013 is about 50611.4810393847. The cubic root of 2561522013 is about 1368.2518083840.

Adding to 2561522013 its reverse (3102251652), we get a palindrome (5663773665).

The spelling of 2561522013 in words is "two billion, five hundred sixty-one million, five hundred twenty-two thousand, thirteen".