58013 has 2 divisors, whose sum is σ = 58014. Its totient is φ = 58012.

The previous prime is 57991. The next prime is 58027. The reversal of 58013 is 31085.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56644 + 1369 = 238^2 + 37^2 .

It is a cyclic number.

It is not a de Polignac number, because 58013 - 2¹⁰ = 56989 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 57982 and 58000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (58043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29006 + 29007.

It is an arithmetic number, because the mean of its divisors is an integer number (29007).

2⁵⁸⁰¹³ is an apocalyptic number.

It is an amenable number.

58013 is a deficient number, since it is larger than the sum of its proper divisors (1).

58013 is an equidigital number, since it uses as much as digits as its factorization.

58013 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 58013 is about 240.8588798446. The cubic root of 58013 is about 38.7116582245.

Adding to 58013 its reverse (31085), we get a palindrome (89098).

The spelling of 58013 in words is "fifty-eight thousand, thirteen".