509253 has 4 divisors (see below), whose sum is σ = 679008. Its totient is φ = 339500.

The previous prime is 509239. The next prime is 509263. The reversal of 509253 is 352905.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 509253 - 2⁵ = 509221 is a prime.

It is a D-number.

509253 is a lucky number.

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 509253.

It is not an unprimeable number, because it can be changed into a prime (509203) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 84873 + ... + 84878.

It is an arithmetic number, because the mean of its divisors is an integer number (169752).

2⁵⁰⁹²⁵³ is an apocalyptic number.

It is an amenable number.

509253 is a deficient number, since it is larger than the sum of its proper divisors (169755).

509253 is a wasteful number, since it uses less digits than its factorization.

509253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169754.

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 509253 is about 713.6196465905. The cubic root of 509253 is about 79.8566704447.

The spelling of 509253 in words is "five hundred nine thousand, two hundred fifty-three".