58906313 has 2 divisors, whose sum is σ = 58906314. Its totient is φ = 58906312.

The previous prime is 58906277. The next prime is 58906319. The reversal of 58906313 is 31360985.

58906313 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., 55472704 + 3433609 = 7448^2 + 1853^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-58906313 is a prime.

It is a super-2 number, since 2×58906313² = 6939907422507938, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (58906319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29453156 + 29453157.

It is an arithmetic number, because the mean of its divisors is an integer number (29453157).

Almost surely, 2^58906313 is an apocalyptic number.

It is an amenable number.

58906313 is a deficient number, since it is larger than the sum of its proper divisors (1).

58906313 is an equidigital number, since it uses as much as digits as its factorization.

58906313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 58906313 is about 7675.0448207160. The cubic root of 58906313 is about 389.0934741435.

The spelling of 58906313 in words is "fifty-eight million, nine hundred six thousand, three hundred thirteen".