253009 has 3 divisors (see below), whose sum is σ = 253513. Its totient is φ = 252506.

The previous prime is 253003. The next prime is 253013. The reversal of 253009 is 900352.

The square root of 253009 is 503.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 253009 - 2⁷ = 252881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (253003) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 252 + ... + 754.

253009 is a Friedman number, since it can be written as (500+9/3)^2, using all its digits and the basic arithmetic operations.

2²⁵³⁰⁰⁹ is an apocalyptic number.

253009 is the 503-rd square number.

253009 is the 252-nd centered octagonal number.

It is an amenable number.

253009 is a deficient number, since it is larger than the sum of its proper divisors (504).

253009 is an frugal number, since it uses more digits than its factorization.

253009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 19.

The cubic root of 253009 is about 63.2477853901.

The spelling of 253009 in words is "two hundred fifty-three thousand, nine".