517165116 has 72 divisors (see below), whose sum is σ = 1320989040. Its totient is φ = 156524544.

The previous prime is 517165073. The next prime is 517165249. The reversal of 517165116 is 611561715.

Its product of digits (6300) is a multiple of the sum of its prime divisors (300).

It is a congruent number.

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, 2679516 + ... + 2679708.

It is an arithmetic number, because the mean of its divisors is an integer number (18347070).

Almost surely, 2^517165116 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 517165116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660494520).

517165116 is an abundant number, since it is smaller than the sum of its proper divisors (803823924).

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

517165116 is a wasteful number, since it uses less digits than its factorization.

517165116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 300 counting only the distinct ones).

The product of its digits is 6300, while the sum is 33.

The square root of 517165116 is about 22741.2646086360. The cubic root of 517165116 is about 802.6811687127.

The spelling of 517165116 in words is "five hundred seventeen million, one hundred sixty-five thousand, one hundred sixteen".