13003264 has 40 divisors (see below), whose sum is σ = 26332020. Its totient is φ = 6414336.

The previous prime is 13003259. The next prime is 13003301. The reversal of 13003264 is 46230031.

It can be written as a sum of positive squares in 2 ways, for example, as 12960000 + 43264 = 3600^2 + 208^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 55692 + ... + 55924.

Almost surely, 2^13003264 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 13003264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13166010).

13003264 is an abundant number, since it is smaller than the sum of its proper divisors (13328756).

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

13003264 is an equidigital number, since it uses as much as digits as its factorization.

13003264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 13003264 is about 3606.0038824161. The cubic root of 13003264 is about 235.1531459880.

Adding to 13003264 its reverse (46230031), we get a palindrome (59233295).

The spelling of 13003264 in words is "thirteen million, three thousand, two hundred sixty-four".