513234216 has 96 divisors (see below), whose sum is σ = 1605614400. Its totient is φ = 146373120.

The previous prime is 513234191. The next prime is 513234223. The reversal of 513234216 is 612432315.

It is a self number, because there is not a number n which added to its sum of digits gives 513234216.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5596 + ... + 32523.

It is an arithmetic number, because the mean of its divisors is an integer number (16725150).

Almost surely, 2^513234216 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 513234216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802807200).

513234216 is an abundant number, since it is smaller than the sum of its proper divisors (1092380184).

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

513234216 is a wasteful number, since it uses less digits than its factorization.

513234216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38159 (or 38152 counting only the distinct ones).

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

The square root of 513234216 is about 22654.6731602996. The cubic root of 513234216 is about 800.6423050007.

The spelling of 513234216 in words is "five hundred thirteen million, two hundred thirty-four thousand, two hundred sixteen".