5081313600 has 1008 divisors, whose sum is σ = 22045940160. Its totient is φ = 1128038400.

The previous prime is 5081313599. The next prime is 5081313631. The reversal of 5081313600 is 63131805.

5081313600 is a `hidden beast` number, since 50 + 8 + 1 + 3 + 1 + 3 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 137332782 + ... + 137332818.

Almost surely, 2^5081313600 is an apocalyptic number.

5081313600 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 5081313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11022970080).

5081313600 is an abundant number, since it is smaller than the sum of its proper divisors (16964626560).

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

5081313600 is a wasteful number, since it uses less digits than its factorization.

5081313600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5081313600 is about 71283.3332553971. Note that the first 3 decimals coincide. The cubic root of 5081313600 is about 1719.1957660754.

The spelling of 5081313600 in words is "five billion, eighty-one million, three hundred thirteen thousand, six hundred".