5124510400 has 168 divisors, whose sum is σ = 13270650624. Its totient is φ = 1943884800.

The previous prime is 5124510389. The next prime is 5124510421. The reversal of 5124510400 is 40154215.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4820269 + ... + 4821331.

It is an arithmetic number, because the mean of its divisors is an integer number (78991968).

Almost surely, 2^5124510400 is an apocalyptic number.

5124510400 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 5124510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6635325312).

5124510400 is an abundant number, since it is smaller than the sum of its proper divisors (8146140224).

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

5124510400 is a wasteful number, since it uses less digits than its factorization.

5124510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 5124510400 is about 71585.6857199818. The cubic root of 5124510400 is about 1724.0537160963.

Adding to 5124510400 its reverse (40154215), we get a palindrome (5164664615).

It can be divided in two parts, 5124 and 510400, that added together give a square (515524 = 718²).

The spelling of 5124510400 in words is "five billion, one hundred twenty-four million, five hundred ten thousand, four hundred".