5013513624 has 128 divisors (see below), whose sum is σ = 14478912000. Its totient is φ = 1417073664.

The previous prime is 5013513623. The next prime is 5013513629. The reversal of 5013513624 is 4263153105.

It is a super-2 number, since 2×5013513624² = 50270637716067226752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5013513591 and 5013513600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5013513623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8810812 + ... + 8811380.

It is an arithmetic number, because the mean of its divisors is an integer number (113116500).

Almost surely, 2^5013513624 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 5013513624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7239456000).

5013513624 is an abundant number, since it is smaller than the sum of its proper divisors (9465398376).

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

5013513624 is a wasteful number, since it uses less digits than its factorization.

5013513624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 5013513624 is about 70806.1693922217. The cubic root of 5013513624 is about 1711.5150923455.

Adding to 5013513624 its reverse (4263153105), we get a palindrome (9276666729).

The spelling of 5013513624 in words is "five billion, thirteen million, five hundred thirteen thousand, six hundred twenty-four".