513316116500 has 192 divisors, whose sum is σ = 1260145216512. Its totient is φ = 181061888000.

The previous prime is 513316116497. The next prime is 513316116541. The reversal of 513316116500 is 5611613315.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29201714 + ... + 29219286.

It is an arithmetic number, because the mean of its divisors is an integer number (6563256336).

Almost surely, 2^513316116500 is an apocalyptic number.

513316116500 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 513316116500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630072608256).

513316116500 is an abundant number, since it is smaller than the sum of its proper divisors (746829100012).

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

513316116500 is a wasteful number, since it uses less digits than its factorization.

513316116500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17763 (or 17751 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 32.

Adding to 513316116500 its reverse (5611613315), we get a palindrome (518927729815).

The spelling of 513316116500 in words is "five hundred thirteen billion, three hundred sixteen million, one hundred sixteen thousand, five hundred".