13333504 has 44 divisors (see below), whose sum is σ = 27634500. Its totient is φ = 6422528.

The previous prime is 13333501. The next prime is 13333511. The reversal of 13333504 is 40533331.

13333504 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 2 ways, for example, as 7573504 + 5760000 = 2752^2 + 2400^2 .

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13333501) 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, 29472 + ... + 29920.

Almost surely, 2^13333504 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 13333504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13817250).

13333504 is an abundant number, since it is smaller than the sum of its proper divisors (14300996).

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

13333504 is an equidigital number, since it uses as much as digits as its factorization.

13333504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 22.

The square root of 13333504 is about 3651.5070861221. The cubic root of 13333504 is about 237.1272320336.

Adding to 13333504 its reverse (40533331), we get a palindrome (53866835).

The spelling of 13333504 in words is "thirteen million, three hundred thirty-three thousand, five hundred four".