580513 has 2 divisors, whose sum is σ = 580514. Its totient is φ = 580512.

The previous prime is 580487. The next prime is 580529. The reversal of 580513 is 315085.

580513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 528529 + 51984 = 727^2 + 228^2 .

It is a cyclic number.

It is not a de Polignac number, because 580513 - 2⁹ = 580001 is a prime.

It is not a weakly prime, because it can be changed into another prime (580553) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 290256 + 290257.

It is an arithmetic number, because the mean of its divisors is an integer number (290257).

2⁵⁸⁰⁵¹³ is an apocalyptic number.

It is an amenable number.

580513 is a deficient number, since it is larger than the sum of its proper divisors (1).

580513 is an equidigital number, since it uses as much as digits as its factorization.

580513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 580513 is about 761.9140371459. The cubic root of 580513 is about 83.4200892052.

Adding to 580513 its reverse (315085), we get a palindrome (895598).

The spelling of 580513 in words is "five hundred eighty thousand, five hundred thirteen".