58000013 has 2 divisors, whose sum is σ = 58000014. Its totient is φ = 58000012.

The previous prime is 58000003. The next prime is 58000031. The reversal of 58000013 is 31000085.

Together with next prime (58000031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32467204 + 25532809 = 5698^2 + 5053^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-58000013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 57999955 and 58000000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (58000003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29000006 + 29000007.

It is an arithmetic number, because the mean of its divisors is an integer number (29000007).

Almost surely, 2^58000013 is an apocalyptic number.

It is an amenable number.

58000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

58000013 is an equidigital number, since it uses as much as digits as its factorization.

58000013 is an evil number, because the sum of its binary digits is even.

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

The square root of 58000013 is about 7615.7739593557. The cubic root of 58000013 is about 387.0876929831.

Adding to 58000013 its reverse (31000085), we get a palindrome (89000098).

The spelling of 58000013 in words is "fifty-eight million, thirteen", and thus it is an aban number and an uban number.