5116165000 has 80 divisors (see below), whose sum is σ = 12122916300. Its totient is φ = 2023296000.

The previous prime is 5116164997. The next prime is 5116165001. The reversal of 5116165000 is 5616115.

It can be written as a sum of positive squares in 10 ways, for example, as 773618596 + 4342546404 = 27814^2 + 65898^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (5116165001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 439252 + ... + 450748.

Almost surely, 2^5116165000 is an apocalyptic number.

5116165000 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 5116165000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6061458150).

5116165000 is an abundant number, since it is smaller than the sum of its proper divisors (7006751300).

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

5116165000 is a wasteful number, since it uses less digits than its factorization.

5116165000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11612 (or 11593 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The square root of 5116165000 is about 71527.3723828857. The cubic root of 5116165000 is about 1723.1173186521.

The spelling of 5116165000 in words is "five billion, one hundred sixteen million, one hundred sixty-five thousand".