42584978313 has 20 divisors (see below), whose sum is σ = 63659163348. Its totient is φ = 28370096640.

The previous prime is 42584978311. The next prime is 42584978323. The reversal of 42584978313 is 31387948524.

It is a happy number.

42584978313 is a `hidden beast` number, since 4 + 258 + 4 + 9 + 78 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24871497849 + 17713480464 = 157707^2 + 133092^2 .

It is not a de Polignac number, because 42584978313 - 2¹ = 42584978311 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42584978313.

It is not an unprimeable number, because it can be changed into a prime (42584978311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 67368 + ... + 299513.

Almost surely, 2^42584978313 is an apocalyptic number.

It is an amenable number.

42584978313 is a deficient number, since it is larger than the sum of its proper divisors (21074185035).

42584978313 is a wasteful number, since it uses less digits than its factorization.

42584978313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368326 (or 368317 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 42584978313 in words is "forty-two billion, five hundred eighty-four million, nine hundred seventy-eight thousand, three hundred thirteen".