13006504 has 16 divisors (see below), whose sum is σ = 27871200. Its totient is φ = 5574192.

The previous prime is 13006501. The next prime is 13006537. The reversal of 13006504 is 40560031.

13006504 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

13006504 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (13006501) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 116074 + ... + 116185.

It is an arithmetic number, because the mean of its divisors is an integer number (1741950).

Almost surely, 2^13006504 is an apocalyptic number.

13006504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13006504 is an abundant number, since it is smaller than the sum of its proper divisors (14864696).

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

13006504 is a wasteful number, since it uses less digits than its factorization.

13006504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232272 (or 232268 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 13006504 is about 3606.4531051991. The cubic root of 13006504 is about 235.1726752621.

Adding to 13006504 its reverse (40560031), we get a palindrome (53566535).

The spelling of 13006504 in words is "thirteen million, six thousand, five hundred four".