512532 has 36 divisors (see below), whose sum is σ = 1354080. Its totient is φ = 163152.

The previous prime is 512531. The next prime is 512537. The reversal of 512532 is 235215.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 512532.

It is not an unprimeable number, because it can be changed into a prime (512531) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 519 + ... + 1137.

2⁵¹²⁵³² 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 512532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677040).

512532 is an abundant number, since it is smaller than the sum of its proper divisors (841548).

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

512532 is a wasteful number, since it uses less digits than its factorization.

512532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 647 counting only the distinct ones).

The product of its digits is 300, while the sum is 18.

The square root of 512532 is about 715.9134025844. The cubic root of 512532 is about 80.0276987420.

Adding to 512532 its reverse (235215), we get a palindrome (747747).

The spelling of 512532 in words is "five hundred twelve thousand, five hundred thirty-two".