13001504 has 48 divisors (see below), whose sum is σ = 26812800. Its totient is φ = 6200064.

The previous prime is 13001501. The next prime is 13001507. The reversal of 13001504 is 40510031.

It is an interprime number because it is at equal distance from previous prime (13001501) and next prime (13001507).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (13001501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93467 + ... + 93605.

It is an arithmetic number, because the mean of its divisors is an integer number (558600).

Almost surely, 2^13001504 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 13001504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13406400).

13001504 is an abundant number, since it is smaller than the sum of its proper divisors (13811296).

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

13001504 is a wasteful number, since it uses less digits than its factorization.

13001504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 13001504 is about 3605.7598367057. The cubic root of 13001504 is about 235.1425361336.

Adding to 13001504 its reverse (40510031), we get a palindrome (53511535).

The spelling of 13001504 in words is "thirteen million, one thousand, five hundred four".