13500905504 has 36 divisors (see below), whose sum is σ = 28235423034. Its totient is φ = 6353362944.

The previous prime is 13500905497. The next prime is 13500905527. The reversal of 13500905504 is 40550900531.

It can be written as a sum of positive squares in 3 ways, for example, as 13432810000 + 68095504 = 115900^2 + 8252^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 720689 + ... + 739184.

Almost surely, 2^13500905504 is an apocalyptic number.

It is an amenable number.

13500905504 is an abundant number, since it is smaller than the sum of its proper divisors (14734517530).

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

13500905504 is a wasteful number, since it uses less digits than its factorization.

13500905504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459917 (or 1459892 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 32.

The spelling of 13500905504 in words is "thirteen billion, five hundred million, nine hundred five thousand, five hundred four".