516852 has 54 divisors (see below), whose sum is σ = 1524978. Its totient is φ = 147168.

The previous prime is 516847. The next prime is 516871. The reversal of 516852 is 258615.

It can be written as a sum of positive squares in only one way, i.e., 509796 + 7056 = 714^2 + 84^2 .

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1618 + ... + 1910.

2⁵¹⁶⁸⁵² 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 516852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762489).

516852 is an abundant number, since it is smaller than the sum of its proper divisors (1008126).

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

516852 is a wasteful number, since it uses less digits than its factorization.

516852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 305 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 516852 is about 718.9241962822. The cubic root of 516852 is about 80.2519142409.

It can be divided in two parts, 51 and 6852, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 516852 in words is "five hundred sixteen thousand, eight hundred fifty-two".