2561122513 has 16 divisors (see below), whose sum is σ = 2621306880. Its totient is φ = 2501888256.

The previous prime is 2561122493. The next prime is 2561122517. The reversal of 2561122513 is 3152211652.

It is a cyclic number.

It is not a de Polignac number, because 2561122513 - 2⁵ = 2561122481 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2561122517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2568331 + ... + 2569327.

It is an arithmetic number, because the mean of its divisors is an integer number (163831680).

Almost surely, 2^2561122513 is an apocalyptic number.

It is an amenable number.

2561122513 is a deficient number, since it is larger than the sum of its proper divisors (60184367).

2561122513 is a wasteful number, since it uses less digits than its factorization.

2561122513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416.

The product of its digits is 3600, while the sum is 28.

The square root of 2561122513 is about 50607.5341525350. The cubic root of 2561122513 is about 1368.1806729400.

The spelling of 2561122513 in words is "two billion, five hundred sixty-one million, one hundred twenty-two thousand, five hundred thirteen".