59808013 has 2 divisors, whose sum is σ = 59808014. Its totient is φ = 59808012.

The previous prime is 59807987. The next prime is 59808031. The reversal of 59808013 is 31080895.

Together with next prime (59808031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55086084 + 4721929 = 7422^2 + 2173^2 .

It is a cyclic number.

It is not a de Polignac number, because 59808013 - 2¹⁷ = 59676941 is a prime.

It is equal to p_3551398 and since 59808013 and 3551398 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 59808013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (59808113) 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, 29904006 + 29904007.

It is an arithmetic number, because the mean of its divisors is an integer number (29904007).

Almost surely, 2^59808013 is an apocalyptic number.

It is an amenable number.

59808013 is a deficient number, since it is larger than the sum of its proper divisors (1).

59808013 is an equidigital number, since it uses as much as digits as its factorization.

59808013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 34.

The square root of 59808013 is about 7733.5640554663. The cubic root of 59808013 is about 391.0687603512.

The spelling of 59808013 in words is "fifty-nine million, eight hundred eight thousand, thirteen".