509489 has 4 divisors (see below), whose sum is σ = 519156. Its totient is φ = 499824.

The previous prime is 509477. The next prime is 509513. The reversal of 509489 is 984905.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 462400 + 47089 = 680^2 + 217^2 .

It is a cyclic number.

It is not a de Polignac number, because 509489 - 2¹⁶ = 443953 is a prime.

It is a super-2 number, since 2×509489² = 519158082242, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (509429) 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, 4754 + ... + 4859.

It is an arithmetic number, because the mean of its divisors is an integer number (129789).

2⁵⁰⁹⁴⁸⁹ is an apocalyptic number.

It is an amenable number.

509489 is a deficient number, since it is larger than the sum of its proper divisors (9667).

509489 is an equidigital number, since it uses as much as digits as its factorization.

509489 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9666.

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 509489 is about 713.7849816296. The cubic root of 509489 is about 79.8690043689.

The spelling of 509489 in words is "five hundred nine thousand, four hundred eighty-nine".