5113459200 has 480 divisors, whose sum is σ = 17931798720. Its totient is φ = 1282867200.

The previous prime is 5113459157. The next prime is 5113459213. The reversal of 5113459200 is 29543115.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×5113459200² = 52294929980129280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83827170 + ... + 83827230.

It is an arithmetic number, because the mean of its divisors is an integer number (37357914).

Almost surely, 2^5113459200 is an apocalyptic number.

5113459200 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 5113459200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8965899360).

5113459200 is an abundant number, since it is smaller than the sum of its proper divisors (12818339520).

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

5113459200 is a wasteful number, since it uses less digits than its factorization.

5113459200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 5113459200 is about 71508.4554440942. The cubic root of 5113459200 is about 1722.8134951812.

The spelling of 5113459200 in words is "five billion, one hundred thirteen million, four hundred fifty-nine thousand, two hundred".