516546500 has 48 divisors (see below), whose sum is σ = 1130416560. Its totient is φ = 206201600.

The previous prime is 516546469. The next prime is 516546509. The reversal of 516546500 is 5645615.

It can be written as a sum of positive squares in 8 ways, for example, as 47997184 + 468549316 = 6928^2 + 21646^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516546509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 403862 + ... + 405138.

It is an arithmetic number, because the mean of its divisors is an integer number (23550345).

Almost surely, 2^516546500 is an apocalyptic number.

516546500 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 516546500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565208280).

516546500 is an abundant number, since it is smaller than the sum of its proper divisors (613870060).

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

516546500 is a wasteful number, since it uses less digits than its factorization.

516546500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2105 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 516546500 is about 22727.6593603477. The cubic root of 516546500 is about 802.3609940294.

The spelling of 516546500 in words is "five hundred sixteen million, five hundred forty-six thousand, five hundred".