516555336 has 128 divisors (see below), whose sum is σ = 1502323200. Its totient is φ = 146273280.

The previous prime is 516555329. The next prime is 516555343. The reversal of 516555336 is 633555615.

It is an interprime number because it is at equal distance from previous prime (516555329) and next prime (516555343).

It is a junction number, because it is equal to n+sod(n) for n = 516555294 and 516555303.

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 31 ways as a sum of consecutive naturals, for example, 803031 + ... + 803673.

It is an arithmetic number, because the mean of its divisors is an integer number (11736900).

Almost surely, 2^516555336 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 516555336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751161600).

516555336 is an abundant number, since it is smaller than the sum of its proper divisors (985767864).

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

516555336 is a wasteful number, since it uses less digits than its factorization.

516555336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 855 counting only the distinct ones).

The product of its digits is 202500, while the sum is 39.

The square root of 516555336 is about 22727.8537482095. The cubic root of 516555336 is about 802.3655690427.

The spelling of 516555336 in words is "five hundred sixteen million, five hundred fifty-five thousand, three hundred thirty-six".