5013504 has 96 divisors (see below), whose sum is σ = 15335190. Its totient is φ = 1572864.

The previous prime is 5013479. The next prime is 5013527. The reversal of 5013504 is 4053105.

It can be written as a sum of positive squares in only one way, i.e., 3686400 + 1327104 = 1920^2 + 1152^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 294904 + ... + 294920.

Almost surely, 2^5013504 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 5013504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7667595).

5013504 is an abundant number, since it is smaller than the sum of its proper divisors (10321686).

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

5013504 is an equidigital number, since it uses as much as digits as its factorization.

5013504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 22 counting only the distinct ones).

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

The square root of 5013504 is about 2239.0855276206. The cubic root of 5013504 is about 171.1513997197.

Adding to 5013504 its reverse (4053105), we get a palindrome (9066609).

It can be divided in two parts, 501 and 3504, that added together give a triangular number (4005 = T₈₉).

The spelling of 5013504 in words is "five million, thirteen thousand, five hundred four".