5005000624 has 40 divisors (see below), whose sum is σ = 10473201200. Its totient is φ = 2303347968.

The previous prime is 5005000603. The next prime is 5005000639. The reversal of 5005000624 is 4260005005.

It is a junction number, because it is equal to n+sod(n) for n = 5005000595 and 5005000604.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38119 + ... + 107065.

It is an arithmetic number, because the mean of its divisors is an integer number (261830030).

Almost surely, 2^5005000624 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 5005000624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5236600600).

5005000624 is an abundant number, since it is smaller than the sum of its proper divisors (5468200576).

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

5005000624 is a wasteful number, since it uses less digits than its factorization.

5005000624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69317 (or 69311 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 5005000624 is about 70746.0290334376. The cubic root of 5005000624 is about 1710.5458198547.

Adding to 5005000624 its reverse (4260005005), we get a palindrome (9265005629).

The spelling of 5005000624 in words is "five billion, five million, six hundred twenty-four", and thus it is an aban number.