5002401300 has 288 divisors, whose sum is σ = 16630935552. Its totient is φ = 1150033920.

The previous prime is 5002401281. The next prime is 5002401311. The reversal of 5002401300 is 31042005.

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 5002401300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13060909 + ... + 13061291.

It is an arithmetic number, because the mean of its divisors is an integer number (57746304).

Almost surely, 2^5002401300 is an apocalyptic number.

5002401300 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 5002401300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8315467776).

5002401300 is an abundant number, since it is smaller than the sum of its proper divisors (11628534252).

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

5002401300 is a wasteful number, since it uses less digits than its factorization.

5002401300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 5002401300 is about 70727.6558356065. The cubic root of 5002401300 is about 1710.2496472149.

Adding to 5002401300 its reverse (31042005), we get a palindrome (5033443305).

The spelling of 5002401300 in words is "five billion, two million, four hundred one thousand, three hundred".