509052 has 24 divisors (see below), whose sum is σ = 1209600. Its totient is φ = 166576.

The previous prime is 509027. The next prime is 509053. The reversal of 509052 is 250905.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509053) by changing a digit.

509052 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 349 + ... + 1067.

It is an arithmetic number, because the mean of its divisors is an integer number (50400).

2⁵⁰⁹⁰⁵² is an apocalyptic number.

It is an amenable number.

509052 is an abundant number, since it is smaller than the sum of its proper divisors (700548).

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

509052 is a wasteful number, since it uses less digits than its factorization.

509052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 509052 is about 713.4788013669. The cubic root of 509052 is about 79.8461626990.

Adding to 509052 its reverse (250905), we get a palindrome (759957).

The spelling of 509052 in words is "five hundred nine thousand, fifty-two".