516489216 has 136 divisors (see below), whose sum is σ = 1434441024. Its totient is φ = 165150720.

The previous prime is 516489209. The next prime is 516489221. The reversal of 516489216 is 612984615.

It is a super-3 number, since 3×516489216³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7274461 + ... + 7274531.

Almost surely, 2^516489216 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 516489216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717220512).

516489216 is an abundant number, since it is smaller than the sum of its proper divisors (917951808).

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

516489216 is an frugal number, since it uses more digits than its factorization.

516489216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 113 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 516489216 is about 22726.3990988454. The cubic root of 516489216 is about 802.3313328428.

The spelling of 516489216 in words is "five hundred sixteen million, four hundred eighty-nine thousand, two hundred sixteen".