5001318400 has 351 divisors, whose sum is σ = 14265535701. Its totient is φ = 1738014720.

The previous prime is 5001318359. The next prime is 5001318407. The reversal of 5001318400 is 48131005.

The square root of 5001318400 is 70720.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 3642363904 + 1358954496 = 60352^2 + 36864^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5001318407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 294195192 + ... + 294195208.

Almost surely, 2^5001318400 is an apocalyptic number.

5001318400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5001318400 is the 70720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5001318400

5001318400 is an abundant number, since it is smaller than the sum of its proper divisors (9264217301).

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

5001318400 is a wasteful number, since it uses less digits than its factorization.

5001318400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The cubic root of 5001318400 is about 1710.1262289545.

Adding to 5001318400 its reverse (48131005), we get a palindrome (5049449405).

The spelling of 5001318400 in words is "five billion, one million, three hundred eighteen thousand, four hundred".