9587968013 has 16 divisors (see below), whose sum is σ = 10478595456. Its totient is φ = 8719394880.

The previous prime is 9587967947. The next prime is 9587968069. The reversal of 9587968013 is 3108697859.

9587968013 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 9587968013 - 2¹⁴ = 9587951629 is a prime.

It is a super-2 number, since 2×9587968013² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9587968013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9587968073) 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 15 ways as a sum of consecutive naturals, for example, 1646495 + ... + 1652307.

It is an arithmetic number, because the mean of its divisors is an integer number (654912216).

Almost surely, 2^9587968013 is an apocalyptic number.

It is an amenable number.

9587968013 is a deficient number, since it is larger than the sum of its proper divisors (890627443).

9587968013 is a wasteful number, since it uses less digits than its factorization.

9587968013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7684.

The product of its (nonzero) digits is 3265920, while the sum is 56.

The square root of 9587968013 is about 97918.1699839208. The cubic root of 9587968013 is about 2124.4288578465.

The spelling of 9587968013 in words is "nine billion, five hundred eighty-seven million, nine hundred sixty-eight thousand, thirteen".