5100116500 has 48 divisors (see below), whose sum is σ = 11156732496. Its totient is φ = 2036736000.

The previous prime is 5100116491. The next prime is 5100116507. The reversal of 5100116500 is 56110015.

It can be written as a sum of positive squares in 8 ways, for example, as 206554384 + 4893562116 = 14372^2 + 69954^2 .

It is a super-2 number, since 2×5100116500² = 52022376627144500000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5100116507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312544 + ... + 328456.

It is an arithmetic number, because the mean of its divisors is an integer number (232431927).

Almost surely, 2^5100116500 is an apocalyptic number.

5100116500 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 5100116500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5578366248).

5100116500 is an abundant number, since it is smaller than the sum of its proper divisors (6056615996).

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

5100116500 is a wasteful number, since it uses less digits than its factorization.

5100116500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16573 (or 16561 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

The square root of 5100116500 is about 71415.0999439194. The cubic root of 5100116500 is about 1721.3137272620.

Adding to 5100116500 its reverse (56110015), we get a palindrome (5156226515).

The spelling of 5100116500 in words is "five billion, one hundred million, one hundred sixteen thousand, five hundred".