516520 has 32 divisors (see below), whose sum is σ = 1197000. Its totient is φ = 200448.

The previous prime is 516517. The next prime is 516521. The reversal of 516520 is 25615.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 509796 + 6724 = 714^2 + 82^2 .

It is not an unprimeable number, because it can be changed into a prime (516521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1306 + ... + 1654.

2⁵¹⁶⁵²⁰ 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 516520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598500).

516520 is an abundant number, since it is smaller than the sum of its proper divisors (680480).

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

516520 is a wasteful number, since it uses less digits than its factorization.

516520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 516520 is about 718.6932586299. The cubic root of 516520 is about 80.2347272819.

It can be divided in two parts, 51 and 6520, that multiplied together give a triangular number (332520 = T₈₁₅).

The spelling of 516520 in words is "five hundred sixteen thousand, five hundred twenty".