516000032 has 48 divisors (see below), whose sum is σ = 1064290752. Its totient is φ = 245794560.

The previous prime is 516000029. The next prime is 516000041. The reversal of 516000032 is 230000615.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 202607 + ... + 205137.

It is an arithmetic number, because the mean of its divisors is an integer number (22172724).

Almost surely, 2^516000032 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 516000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532145376).

516000032 is an abundant number, since it is smaller than the sum of its proper divisors (548290720).

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

516000032 is a wasteful number, since it uses less digits than its factorization.

516000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2841 (or 2833 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 516000032 is about 22715.6340875618. The cubic root of 516000032 is about 802.0779479921.

Adding to 516000032 its reverse (230000615), we get a palindrome (746000647).

The spelling of 516000032 in words is "five hundred sixteen million, thirty-two", and thus it is an aban number.