506532 has 48 divisors (see below), whose sum is σ = 1354752. Its totient is φ = 145920.

The previous prime is 506531. The next prime is 506533. The reversal of 506532 is 235605.

It is an interprime number because it is at equal distance from previous prime (506531) and next prime (506533).

It is a junction number, because it is equal to n+sod(n) for n = 506499 and 506508.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 506532.

It is not an unprimeable number, because it can be changed into a prime (506531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2557 + ... + 2747.

It is an arithmetic number, because the mean of its divisors is an integer number (28224).

2⁵⁰⁶⁵³² is an apocalyptic number.

506532 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677376).

506532 is an abundant number, since it is smaller than the sum of its proper divisors (848220).

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

506532 is a wasteful number, since it uses less digits than its factorization.

506532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 506532 is about 711.7106153487. The cubic root of 506532 is about 79.7141884463.

The spelling of 506532 in words is "five hundred six thousand, five hundred thirty-two".