516042306 has 128 divisors (see below), whose sum is σ = 1331527680. Its totient is φ = 146836800.

The previous prime is 516042221. The next prime is 516042311. The reversal of 516042306 is 603240615.

516042306 is a `hidden beast` number, since 51 + 604 + 2 + 3 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 516042306.

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 63 ways as a sum of consecutive naturals, for example, 500011 + ... + 501041.

It is an arithmetic number, because the mean of its divisors is an integer number (10402560).

Almost surely, 2^516042306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516042306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665763840).

516042306 is an abundant number, since it is smaller than the sum of its proper divisors (815485374).

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

516042306 is a wasteful number, since it uses less digits than its factorization.

516042306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 516042306 is about 22716.5645730159. The cubic root of 516042306 is about 802.0998511673.

The spelling of 516042306 in words is "five hundred sixteen million, forty-two thousand, three hundred six".