1965808689137 has 2 divisors, whose sum is σ = 1965808689138. Its totient is φ = 1965808689136.

The previous prime is 1965808689107. The next prime is 1965808689179. The reversal of 1965808689137 is 7319868085691.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1005896667136 + 959912022001 = 1002944^2 + 979751^2 .

It is a cyclic number.

It is not a de Polignac number, because 1965808689137 - 2³⁰ = 1964734947313 is a prime.

It is not a weakly prime, because it can be changed into another prime (1965808689107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 982904344568 + 982904344569.

It is an arithmetic number, because the mean of its divisors is an integer number (982904344569).

Almost surely, 2^{1965808689137} is an apocalyptic number.

It is an amenable number.

1965808689137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1965808689137 is an equidigital number, since it uses as much as digits as its factorization.

1965808689137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 156764160, while the sum is 71.

The spelling of 1965808689137 in words is "one trillion, nine hundred sixty-five billion, eight hundred eight million, six hundred eighty-nine thousand, one hundred thirty-seven".