13005504 has 84 divisors (see below), whose sum is σ = 37946584. Its totient is φ = 4257792.

The previous prime is 13005491. The next prime is 13005521. The reversal of 13005504 is 40550031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38424 + ... + 38760.

Almost surely, 2^13005504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13005504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18973292).

13005504 is an abundant number, since it is smaller than the sum of its proper divisors (24941080).

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

13005504 is a wasteful number, since it uses less digits than its factorization.

13005504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 13005504 is about 3606.3144621622. The cubic root of 13005504 is about 235.1666480544.

Adding to 13005504 its reverse (40550031), we get a palindrome (53555535).

The spelling of 13005504 in words is "thirteen million, five thousand, five hundred four".