580913 has 2 divisors, whose sum is σ = 580914. Its totient is φ = 580912.

The previous prime is 580901. The next prime is 580919. The reversal of 580913 is 319085.

580913 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., 446224 + 134689 = 668^2 + 367^2 .

It is a cyclic number.

It is not a de Polignac number, because 580913 - 2¹⁶ = 515377 is a prime.

It is a plaindrome in base 14.

It is not a weakly prime, because it can be changed into another prime (580919) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 290456 + 290457.

It is an arithmetic number, because the mean of its divisors is an integer number (290457).

2⁵⁸⁰⁹¹³ is an apocalyptic number.

It is an amenable number.

580913 is a deficient number, since it is larger than the sum of its proper divisors (1).

580913 is an equidigital number, since it uses as much as digits as its factorization.

580913 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 580913 is about 762.1764887478. The cubic root of 580913 is about 83.4392448914.

Adding to 580913 its reverse (319085), we get a palindrome (899998).

The spelling of 580913 in words is "five hundred eighty thousand, nine hundred thirteen".