42036585617 has 24 divisors (see below), whose sum is σ = 45806078520. Its totient is φ = 38559006720.

The previous prime is 42036585607. The next prime is 42036585631. The reversal of 42036585617 is 71658563024.

It can be written as a sum of positive squares in 12 ways, for example, as 2194828801 + 39841756816 = 46849^2 + 199604^2 .

It is not a de Polignac number, because 42036585617 - 2⁴ = 42036585601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42036585607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23496359 + ... + 23498147.

It is an arithmetic number, because the mean of its divisors is an integer number (1908586605).

Almost surely, 2^42036585617 is an apocalyptic number.

It is an amenable number.

42036585617 is a deficient number, since it is larger than the sum of its proper divisors (3769492903).

42036585617 is a wasteful number, since it uses less digits than its factorization.

42036585617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2613 (or 2600 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 47.

The spelling of 42036585617 in words is "forty-two billion, thirty-six million, five hundred eighty-five thousand, six hundred seventeen".