516505500 has 288 divisors, whose sum is σ = 1962455040. Its totient is φ = 111715200.

The previous prime is 516505499. The next prime is 516505531. The reversal of 516505500 is 5505615.

516505500 is a `hidden beast` number, since 5 + 1 + 650 + 5 + 5 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 598069 + ... + 598931.

It is an arithmetic number, because the mean of its divisors is an integer number (6814080).

Almost surely, 2^516505500 is an apocalyptic number.

516505500 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 516505500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981227520).

516505500 is an abundant number, since it is smaller than the sum of its proper divisors (1445949540).

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

516505500 is a wasteful number, since it uses less digits than its factorization.

516505500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The square root of 516505500 is about 22726.7573577930. The cubic root of 516505500 is about 802.3397647879.

The spelling of 516505500 in words is "five hundred sixteen million, five hundred five thousand, five hundred".