5163139584 has 360 divisors, whose sum is σ = 16309095660. Its totient is φ = 1630347264.

The previous prime is 5163139543. The next prime is 5163139601. The reversal of 5163139584 is 4859313615.

5163139584 is a `hidden beast` number, since 5 + 1 + 6 + 31 + 39 + 584 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5080838400 + 82301184 = 71280^2 + 9072^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 97417702 + ... + 97417754.

Almost surely, 2^5163139584 is an apocalyptic number.

5163139584 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 5163139584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8154547830).

5163139584 is an abundant number, since it is smaller than the sum of its proper divisors (11145956076).

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

5163139584 is an frugal number, since it uses more digits than its factorization.

5163139584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 87 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 5163139584 is about 71854.9899728613. The cubic root of 5163139584 is about 1728.3749186492.

The spelling of 5163139584 in words is "five billion, one hundred sixty-three million, one hundred thirty-nine thousand, five hundred eighty-four".