5281113600 has 960 divisors, whose sum is σ = 23137804800. Its totient is φ = 1154580480.

The previous prime is 5281113577. The next prime is 5281113601. The reversal of 5281113600 is 63111825.

5281113600 is a `hidden beast` number, since 52 + 8 + 1 + 1 + 1 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×5281113600² = 55780321712209920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5281113601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89510371 + ... + 89510429.

It is an arithmetic number, because the mean of its divisors is an integer number (24101880).

Almost surely, 2^5281113600 is an apocalyptic number.

5281113600 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 5281113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11568902400).

5281113600 is an abundant number, since it is smaller than the sum of its proper divisors (17856691200).

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

5281113600 is a wasteful number, since it uses less digits than its factorization.

5281113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 5281113600 is about 72671.2708021540. The cubic root of 5281113600 is about 1741.4399495289.

The spelling of 5281113600 in words is "five billion, two hundred eighty-one million, one hundred thirteen thousand, six hundred".