516905116 has 96 divisors (see below), whose sum is σ = 1154518400. Its totient is φ = 201180672.

The previous prime is 516905101. The next prime is 516905119. The reversal of 516905116 is 611509615.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516905119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1301830 + ... + 1302226.

Almost surely, 2^516905116 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 516905116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577259200).

516905116 is an abundant number, since it is smaller than the sum of its proper divisors (637613284).

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

516905116 is a wasteful number, since it uses less digits than its factorization.

516905116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 34.

The square root of 516905116 is about 22735.5474092884. The cubic root of 516905116 is about 802.5466326424.

The spelling of 516905116 in words is "five hundred sixteen million, nine hundred five thousand, one hundred sixteen".