516332016 has 80 divisors (see below), whose sum is σ = 1504268800. Its totient is φ = 169532352.

The previous prime is 516332009. The next prime is 516332051. The reversal of 516332016 is 610233615.

516332016 is a `hidden beast` number, since 5 + 1 + 633 + 20 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20025 + ... + 37863.

It is an arithmetic number, because the mean of its divisors is an integer number (18803360).

Almost surely, 2^516332016 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 516332016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752134400).

516332016 is an abundant number, since it is smaller than the sum of its proper divisors (987936784).

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

516332016 is a wasteful number, since it uses less digits than its factorization.

516332016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17923 (or 17911 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 516332016 is about 22722.9403026985. The cubic root of 516332016 is about 802.2499246999.

The spelling of 516332016 in words is "five hundred sixteen million, three hundred thirty-two thousand, sixteen".