580313 has 6 divisors (see below), whose sum is σ = 607194. Its totient is φ = 554576.

The previous prime is 580303. The next prime is 580331. The reversal of 580313 is 313085.

It can be written as a sum of positive squares in only one way, i.e., 444889 + 135424 = 667^2 + 368^2 .

It is not a de Polignac number, because 580313 - 2¹² = 576217 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (580303) 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 5 ways as a sum of consecutive naturals, for example, 20 + ... + 1077.

It is an arithmetic number, because the mean of its divisors is an integer number (101199).

2⁵⁸⁰³¹³ is an apocalyptic number.

It is an amenable number.

580313 is a deficient number, since it is larger than the sum of its proper divisors (26881).

580313 is a wasteful number, since it uses less digits than its factorization.

580313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 580313 is about 761.7827774372. The cubic root of 580313 is about 83.4105080622.

Adding to 580313 its reverse (313085), we get a palindrome (893398).

The spelling of 580313 in words is "five hundred eighty thousand, three hundred thirteen".