11515541013 has 40 divisors (see below), whose sum is σ = 17319644760. Its totient is φ = 7624834560.

The previous prime is 11515540987. The next prime is 11515541047. The reversal of 11515541013 is 31014551511.

11515541013 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 554 + 101 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6616520964 + 4899020049 = 81342^2 + 69993^2 .

It is not a de Polignac number, because 11515541013 - 2²² = 11511346709 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11515541113) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9308631 + ... + 9309867.

It is an arithmetic number, because the mean of its divisors is an integer number (432991119).

Almost surely, 2^11515541013 is an apocalyptic number.

It is an amenable number.

11515541013 is a deficient number, since it is larger than the sum of its proper divisors (5804103747).

11515541013 is a wasteful number, since it uses less digits than its factorization.

11515541013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1939 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 27.

The spelling of 11515541013 in words is "eleven billion, five hundred fifteen million, five hundred forty-one thousand, thirteen".