42586573 has 2 divisors, whose sum is σ = 42586574. Its totient is φ = 42586572.

The previous prime is 42586561. The next prime is 42586603. The reversal of 42586573 is 37568524.

42586573 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23941449 + 18645124 = 4893^2 + 4318^2 .

It is a cyclic number.

It is not a de Polignac number, because 42586573 - 2⁵ = 42586541 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42586373) 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, 21293286 + 21293287.

It is an arithmetic number, because the mean of its divisors is an integer number (21293287).

Almost surely, 2^42586573 is an apocalyptic number.

It is an amenable number.

42586573 is a deficient number, since it is larger than the sum of its proper divisors (1).

42586573 is an equidigital number, since it uses as much as digits as its factorization.

42586573 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 201600, while the sum is 40.

The square root of 42586573 is about 6525.8388732791. The cubic root of 42586573 is about 349.2133981144.

The spelling of 42586573 in words is "forty-two million, five hundred eighty-six thousand, five hundred seventy-three".