968006565600869 has 2 divisors, whose sum is σ = 968006565600870. Its totient is φ = 968006565600868.

The previous prime is 968006565600839. The next prime is 968006565600883.

968006565600869 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 821564014791844 + 146442550809025 = 28662938^2 + 12101345^2 .

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-968006565600869 is a prime.

It is a super-3 number, since 3×968006565600869³ (a number of 46 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 968006565600796 and 968006565600805.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (968006565600839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 484003282800434 + 484003282800435.

It is an arithmetic number, because the mean of its divisors is an integer number (484003282800435).

Almost surely, 2^{968006565600869} is an apocalyptic number.

It is an amenable number.

968006565600869 is a deficient number, since it is larger than the sum of its proper divisors (1).

968006565600869 is an equidigital number, since it uses as much as digits as its factorization.

968006565600869 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1007769600, while the sum is 74.

The spelling of 968006565600869 in words is "nine hundred sixty-eight trillion, six billion, five hundred sixty-five million, six hundred thousand, eight hundred sixty-nine".