5117538816 has 120 divisors (see below), whose sum is σ = 15905869980. Its totient is φ = 1574608896.

The previous prime is 5117538809. The next prime is 5117538817. The reversal of 5117538816 is 6188357115.

5117538816 is a `hidden beast` number, since 511 + 7 + 53 + 8 + 81 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3733698816 + 1383840000 = 61104^2 + 37200^2 .

It is not an unprimeable number, because it can be changed into a prime (5117538817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17190 + ... + 102618.

Almost surely, 2^5117538816 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 5117538816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7952934990).

5117538816 is an abundant number, since it is smaller than the sum of its proper divisors (10788331164).

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

5117538816 is a wasteful number, since it uses less digits than its factorization.

5117538816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85466 (or 85447 counting only the distinct ones).

The product of its digits is 201600, while the sum is 45.

The square root of 5117538816 is about 71536.9751666926. The cubic root of 5117538816 is about 1723.2715379606.

The spelling of 5117538816 in words is "five billion, one hundred seventeen million, five hundred thirty-eight thousand, eight hundred sixteen".