517120 has 44 divisors (see below), whose sum is σ = 1252764. Its totient is φ = 204800.

The previous prime is 517091. The next prime is 517129. The reversal of 517120 is 21715.

It can be written as a sum of positive squares in 2 ways, for example, as 369664 + 147456 = 608^2 + 384^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 517094 and 517103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (517129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5070 + ... + 5170.

2⁵¹⁷¹²⁰ 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 517120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626382).

517120 is an abundant number, since it is smaller than the sum of its proper divisors (735644).

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

517120 is a wasteful number, since it uses less digits than its factorization.

517120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 517120 is about 719.1105617358. The cubic root of 517120 is about 80.2657826834.

Adding to 517120 its reverse (21715), we get a palindrome (538835).

The spelling of 517120 in words is "five hundred seventeen thousand, one hundred twenty".