5013600 has 72 divisors (see below), whose sum is σ = 16327080. Its totient is φ = 1336320.

The previous prime is 5013581. The next prime is 5013629. The reversal of 5013600 is 63105.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 5013600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1356 + ... + 3444.

It is an arithmetic number, because the mean of its divisors is an integer number (226765).

Almost surely, 2^5013600 is an apocalyptic number.

5013600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5013600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8163540).

5013600 is an abundant number, since it is smaller than the sum of its proper divisors (11313480).

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

5013600 is a wasteful number, since it uses less digits than its factorization.

5013600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2112 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 5013600 is about 2239.1069648411. The cubic root of 5013600 is about 171.1524921312.

Adding to 5013600 its reverse (63105), we get a palindrome (5076705).

The spelling of 5013600 in words is "five million, thirteen thousand, six hundred".