12585059 has 2 divisors, whose sum is σ = 12585060. Its totient is φ = 12585058.

The previous prime is 12585037. The next prime is 12585061. The reversal of 12585059 is 95058521.

12585059 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 12585059 - 2¹² = 12580963 is a prime.

Together with 12585061, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (12585259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6292529 + 6292530.

It is an arithmetic number, because the mean of its divisors is an integer number (6292530).

Almost surely, 2^12585059 is an apocalyptic number.

12585059 is a deficient number, since it is larger than the sum of its proper divisors (1).

12585059 is an equidigital number, since it uses as much as digits as its factorization.

12585059 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18000, while the sum is 35.

The square root of 12585059 is about 3547.5426706384. The cubic root of 12585059 is about 232.6046640185.

It can be divided in two parts, 125 and 85059, that added together give a cube (85184 = 44³).

The spelling of 12585059 in words is "twelve million, five hundred eighty-five thousand, fifty-nine".