517316720 has 80 divisors (see below), whose sum is σ = 1234206720. Its totient is φ = 201583872.

The previous prime is 517316719. The next prime is 517316731. The reversal of 517316720 is 27613715.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 599009 + ... + 599871.

It is an arithmetic number, because the mean of its divisors is an integer number (15427584).

Almost surely, 2^517316720 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 517316720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617103360).

517316720 is an abundant number, since it is smaller than the sum of its proper divisors (716890000).

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

517316720 is a wasteful number, since it uses less digits than its factorization.

517316720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 517316720 is about 22744.5976003094. The cubic root of 517316720 is about 802.7595948499.

The spelling of 517316720 in words is "five hundred seventeen million, three hundred sixteen thousand, seven hundred twenty".