509082 has 64 divisors (see below), whose sum is σ = 1327104. Its totient is φ = 126720.

The previous prime is 509071. The next prime is 509087. The reversal of 509082 is 280905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509087) by changing a digit.

509082 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16407 + ... + 16437.

It is an arithmetic number, because the mean of its divisors is an integer number (20736).

2⁵⁰⁹⁰⁸² is an apocalyptic number.

It is a pronic number, being equal to 713×714.

It is a practical number, because each smaller number is the sum of distinct divisors of 509082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663552).

509082 is an abundant number, since it is smaller than the sum of its proper divisors (818022).

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

509082 is a wasteful number, since it uses less digits than its factorization.

509082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83.

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 509082 is about 713.4998248073. The cubic root of 509082 is about 79.8477311948.

Adding to 509082 its reverse (280905), we get a palindrome (789987).

The spelling of 509082 in words is "five hundred nine thousand, eighty-two".