5109328224 has 576 divisors, whose sum is σ = 20077424640. Its totient is φ = 1189416960.

The previous prime is 5109328153. The next prime is 5109328243. The reversal of 5109328224 is 4228239015.

It is a happy number.

5109328224 is a `hidden beast` number, since 5 + 109 + 328 + 224 = 666.

It is a super-2 number, since 2×5109328224² = 52210469801125988352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10666417 + ... + 10666895.

It is an arithmetic number, because the mean of its divisors is an integer number (34856640).

Almost surely, 2^5109328224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5109328224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10038712320).

5109328224 is an abundant number, since it is smaller than the sum of its proper divisors (14968096416).

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

5109328224 is a wasteful number, since it uses less digits than its factorization.

5109328224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5109328224 is about 71479.5650798184. The cubic root of 5109328224 is about 1722.3494375979.

It can be divided in two parts, 5109 and 328224, that added together give a palindrome (333333).

The spelling of 5109328224 in words is "five billion, one hundred nine million, three hundred twenty-eight thousand, two hundred twenty-four".