5113696000 has 288 divisors, whose sum is σ = 14976404352. Its totient is φ = 1703116800.

The previous prime is 5113695973. The next prime is 5113696019. The reversal of 5113696000 is 6963115.

It is a super-2 number, since 2×5113696000² = 52299773560832000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8287692 + ... + 8288308.

It is an arithmetic number, because the mean of its divisors is an integer number (52001404).

It is a vampire number, since it can be written as 56000 ⋅ 91316 (with its own digits).

Almost surely, 2^5113696000 is an apocalyptic number.

5113696000 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 5113696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7488202176).

5113696000 is an abundant number, since it is smaller than the sum of its proper divisors (9862708352).

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

5113696000 is an equidigital number, since it uses as much as digits as its factorization.

5113696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 31.

The square root of 5113696000 is about 71510.1111731761. Note that the first 4 decimals coincide. The cubic root of 5113696000 is about 1722.8400887860.

The spelling of 5113696000 in words is "five billion, one hundred thirteen million, six hundred ninety-six thousand".