516332520 has 192 divisors, whose sum is σ = 1910563200. Its totient is φ = 119708160.

The previous prime is 516332491. The next prime is 516332539. The reversal of 516332520 is 25233615.

516332520 is a `hidden beast` number, since 5 + 1 + 633 + 2 + 5 + 20 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88246 + ... + 93914.

It is an arithmetic number, because the mean of its divisors is an integer number (9950850).

Almost surely, 2^516332520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516332520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955281600).

516332520 is an abundant number, since it is smaller than the sum of its proper divisors (1394230680).

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

516332520 is a wasteful number, since it uses less digits than its factorization.

516332520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5720 (or 5713 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 516332520 is about 22722.9513928099. The cubic root of 516332520 is about 802.2501857295.

The spelling of 516332520 in words is "five hundred sixteen million, three hundred thirty-two thousand, five hundred twenty".