580509 has 12 divisors (see below), whose sum is σ = 855036. Its totient is φ = 379392.

The previous prime is 580487. The next prime is 580513. The reversal of 580509 is 905085.

It can be written as a sum of positive squares in 2 ways, for example, as 308025 + 272484 = 555^2 + 522^2 .

It is not a de Polignac number, because 580509 - 2⁵ = 580477 is a prime.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580529) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132 + ... + 1085.

It is an arithmetic number, because the mean of its divisors is an integer number (71253).

2⁵⁸⁰⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

580509 is a deficient number, since it is larger than the sum of its proper divisors (274527).

580509 is a wasteful number, since it uses less digits than its factorization.

580509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 580509 is about 761.9114121734. The cubic root of 580509 is about 83.4198976039.

It can be divided in two parts, 580 and 509, that added together give a square (1089 = 33²).

The spelling of 580509 in words is "five hundred eighty thousand, five hundred nine".