5019331600 has 120 divisors (see below), whose sum is σ = 13209098760. Its totient is φ = 1824399360.

The previous prime is 5019331579. The next prime is 5019331619. The reversal of 5019331600 is 61339105.

It can be written as a sum of positive squares in 12 ways, for example, as 694427904 + 4324903696 = 26352^2 + 65764^2 .

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, 184474 + ... + 209926.

It is an arithmetic number, because the mean of its divisors is an integer number (110075823).

Almost surely, 2^5019331600 is an apocalyptic number.

5019331600 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 5019331600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6604549380).

5019331600 is an abundant number, since it is smaller than the sum of its proper divisors (8189767160).

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

5019331600 is a wasteful number, since it uses less digits than its factorization.

5019331600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25517 (or 25506 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 28.

The square root of 5019331600 is about 70847.2413012673. The cubic root of 5019331600 is about 1712.1768840005.

The spelling of 5019331600 in words is "five billion, nineteen million, three hundred thirty-one thousand, six hundred".