580013 has 16 divisors (see below), whose sum is σ = 720000. Its totient is φ = 465696.

The previous prime is 580001. The next prime is 580031. The reversal of 580013 is 310085.

It is not a de Polignac number, because 580013 - 2⁶ = 579949 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 579973 and 580000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580033) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6473 + ... + 6561.

It is an arithmetic number, because the mean of its divisors is an integer number (45000).

2⁵⁸⁰⁰¹³ is an apocalyptic number.

It is an amenable number.

580013 is a deficient number, since it is larger than the sum of its proper divisors (139987).

580013 is an equidigital number, since it uses as much as digits as its factorization.

580013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 580013 is about 761.5858454567. The cubic root of 580013 is about 83.3961322193.

Adding to 580013 its reverse (310085), we get a palindrome (890098).

It can be divided in two parts, 5 and 80013, that multiplied together give a triangular number (400065 = T₈₉₄).

The spelling of 580013 in words is "five hundred eighty thousand, thirteen".