42585516 has 36 divisors (see below), whose sum is σ = 109169424. Its totient is φ = 13994400.

The previous prime is 42585509. The next prime is 42585533. The reversal of 42585516 is 61558524.

42585516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 in 11 ways as a sum of consecutive naturals, for example, 5775 + ... + 10886.

It is an arithmetic number, because the mean of its divisors is an integer number (3032484).

Almost surely, 2^42585516 is an apocalyptic number.

It is an amenable number.

42585516 is an abundant number, since it is smaller than the sum of its proper divisors (66583908).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42585516 is a wasteful number, since it uses less digits than its factorization.

42585516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16742 (or 16737 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 42585516 is about 6525.7578870197. The cubic root of 42585516 is about 349.2105089282.

The spelling of 42585516 in words is "forty-two million, five hundred eighty-five thousand, five hundred sixteen".