5131050624 has 480 divisors, whose sum is σ = 18675914400. Its totient is φ = 1366087680.

The previous prime is 5131050599. The next prime is 5131050641. The reversal of 5131050624 is 4260501315.

5131050624 is a `hidden beast` number, since 5 + 1 + 31 + 0 + 5 + 0 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 84115554 + ... + 84115614.

It is an arithmetic number, because the mean of its divisors is an integer number (38908155).

Almost surely, 2^5131050624 is an apocalyptic number.

5131050624 is a gapful number since it is divisible by the number (54) 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 5131050624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9337957200).

5131050624 is an abundant number, since it is smaller than the sum of its proper divisors (13544863776).

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

5131050624 is an equidigital number, since it uses as much as digits as its factorization.

5131050624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5131050624 is about 71631.3522418780. The cubic root of 5131050624 is about 1724.7868530590.

Adding to 5131050624 its reverse (4260501315), we get a palindrome (9391551939).

The spelling of 5131050624 in words is "five billion, one hundred thirty-one million, fifty thousand, six hundred twenty-four".