517380516 has 81 divisors (see below), whose sum is σ = 1395536961. Its totient is φ = 161587584.

The previous prime is 517380403. The next prime is 517380553. The reversal of 517380516 is 615083715.

The square root of 517380516 is 22746.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 402804900 + 114575616 = 20070^2 + 10704^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2319981 + ... + 2320203.

Almost surely, 2^517380516 is an apocalyptic number.

517380516 is the 22746-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 517380516

517380516 is an abundant number, since it is smaller than the sum of its proper divisors (878156445).

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

517380516 is a wasteful number, since it uses less digits than its factorization.

517380516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The cubic root of 517380516 is about 802.7925925242.

Multiplying 517380516 by its sum of digits (36), we get a square (18625698576 = 136476²).

517380516 divided by its sum of digits (36) gives a square (14371681 = 3791²).

The spelling of 517380516 in words is "five hundred seventeen million, three hundred eighty thousand, five hundred sixteen".