580301 has 2 divisors, whose sum is σ = 580302. Its totient is φ = 580300.

The previous prime is 580291. The next prime is 580303. The reversal of 580301 is 103085.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 454276 + 126025 = 674^2 + 355^2 .

It is a cyclic number.

It is not a de Polignac number, because 580301 - 2¹⁰ = 579277 is a prime.

Together with 580303, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 580301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another 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 as a sum of consecutive naturals, namely, 290150 + 290151.

It is an arithmetic number, because the mean of its divisors is an integer number (290151).

2⁵⁸⁰³⁰¹ is an apocalyptic number.

It is an amenable number.

580301 is a deficient number, since it is larger than the sum of its proper divisors (1).

580301 is an equidigital number, since it uses as much as digits as its factorization.

580301 is an odious number, because the sum of its binary digits is odd.

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

The square root of 580301 is about 761.7749011355. The cubic root of 580301 is about 83.4099331236.

Adding to 580301 its reverse (103085), we get a palindrome (683386).

The spelling of 580301 in words is "five hundred eighty thousand, three hundred one".