5116313160 has 640 divisors, whose sum is σ = 21410611200. Its totient is φ = 1069355520.

The previous prime is 5116313159. The next prime is 5116313173. The reversal of 5116313160 is 613136115.

5116313160 is a `hidden beast` number, since 5 + 11 + 631 + 3 + 16 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13358329 + ... + 13358711.

It is an arithmetic number, because the mean of its divisors is an integer number (33454080).

Almost surely, 2^5116313160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5116313160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10705305600).

5116313160 is an abundant number, since it is smaller than the sum of its proper divisors (16294298040).

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

5116313160 is a wasteful number, since it uses less digits than its factorization.

5116313160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 5116313160 is about 71528.4080628110. The cubic root of 5116313160 is about 1723.1339518528.

Adding to 5116313160 its reverse (613136115), we get a palindrome (5729449275).

The spelling of 5116313160 in words is "five billion, one hundred sixteen million, three hundred thirteen thousand, one hundred sixty".