516825384 has 64 divisors (see below), whose sum is σ = 1363008000. Its totient is φ = 162855360.

The previous prime is 516825373. The next prime is 516825437. The reversal of 516825384 is 483528615.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 281349 + ... + 283179.

It is an arithmetic number, because the mean of its divisors is an integer number (21297000).

Almost surely, 2^516825384 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 516825384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681504000).

516825384 is an abundant number, since it is smaller than the sum of its proper divisors (846182616).

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

516825384 is a wasteful number, since it uses less digits than its factorization.

516825384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2478 (or 2474 counting only the distinct ones).

The product of its digits is 230400, while the sum is 42.

The square root of 516825384 is about 22733.7938760780. The cubic root of 516825384 is about 802.5053665658.

The spelling of 516825384 in words is "five hundred sixteen million, eight hundred twenty-five thousand, three hundred eighty-four".