512652 has 48 divisors (see below), whose sum is σ = 1451520. Its totient is φ = 137472.

The previous prime is 512641. The next prime is 512657. The reversal of 512652 is 256215.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (512657) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1249 + ... + 1607.

It is an arithmetic number, because the mean of its divisors is an integer number (30240).

2⁵¹²⁶⁵² 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 512652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725760).

512652 is an abundant number, since it is smaller than the sum of its proper divisors (938868).

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

512652 is a wasteful number, since it uses less digits than its factorization.

512652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 388 counting only the distinct ones).

The product of its digits is 600, while the sum is 21.

The square root of 512652 is about 715.9972066985. The cubic root of 512652 is about 80.0339439289.

Adding to 512652 its reverse (256215), we get a palindrome (768867).

The spelling of 512652 in words is "five hundred twelve thousand, six hundred fifty-two".