1085118188309 has 2 divisors, whose sum is σ = 1085118188310. Its totient is φ = 1085118188308.

The previous prime is 1085118188303. The next prime is 1085118188321. The reversal of 1085118188309 is 9038818115801.

1085118188309 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1037199664900 + 47918523409 = 1018430^2 + 218903^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1085118188309 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1085118188303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 542559094154 + 542559094155.

It is an arithmetic number, because the mean of its divisors is an integer number (542559094155).

Almost surely, 2^{1085118188309} is an apocalyptic number.

It is an amenable number.

1085118188309 is a deficient number, since it is larger than the sum of its proper divisors (1).

1085118188309 is an equidigital number, since it uses as much as digits as its factorization.

1085118188309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 552960, while the sum is 53.

The spelling of 1085118188309 in words is "one trillion, eighty-five billion, one hundred eighteen million, one hundred eighty-eight thousand, three hundred nine".