5163709824 has 480 divisors, whose sum is σ = 19062465840. Its totient is φ = 1358622720.

The previous prime is 5163709807. The next prime is 5163709853. The reversal of 5163709824 is 4289073615.

5163709824 is a `hidden beast` number, since 5 + 1 + 637 + 0 + 9 + 8 + 2 + 4 = 666.

5163709824 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×5163709824² = 53327798292948221952, which contains 22 as substring.

5163709824 is strictly pandigital in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 5163709824.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12265134 + ... + 12265554.

It is a 1-persistent number, because it is pandigital, but 2⋅5163709824 = 10327419648 is not.

Almost surely, 2^5163709824 is an apocalyptic number.

5163709824 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 5163709824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9531232920).

5163709824 is an abundant number, since it is smaller than the sum of its proper divisors (13898756016).

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

5163709824 is a wasteful number, since it uses less digits than its factorization.

5163709824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5163709824 is about 71858.9578549536. The cubic root of 5163709824 is about 1728.4385461001.

The spelling of 5163709824 in words is "five billion, one hundred sixty-three million, seven hundred nine thousand, eight hundred twenty-four".