515052 has 48 divisors (see below), whose sum is σ = 1411200. Its totient is φ = 162000.

The previous prime is 515041. The next prime is 515087. The reversal of 515052 is 250515.

515052 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1927 + ... + 2177.

It is an arithmetic number, because the mean of its divisors is an integer number (29400).

2⁵¹⁵⁰⁵² 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 515052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705600).

515052 is an abundant number, since it is smaller than the sum of its proper divisors (896148).

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

515052 is a wasteful number, since it uses less digits than its factorization.

515052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

The square root of 515052 is about 717.6712339226. The cubic root of 515052 is about 80.1586435283.

Adding to 515052 its reverse (250515), we get a palindrome (765567).

The spelling of 515052 in words is "five hundred fifteen thousand, fifty-two".