1085375605117 has 2 divisors, whose sum is σ = 1085375605118. Its totient is φ = 1085375605116.

The previous prime is 1085375605103. The next prime is 1085375605129. The reversal of 1085375605117 is 7115065735801.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 721855843641 + 363519761476 = 849621^2 + 602926^2 .

It is a cyclic number.

It is not a de Polignac number, because 1085375605117 - 2¹¹ = 1085375603069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1085375605147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 542687802558 + 542687802559.

It is an arithmetic number, because the mean of its divisors is an integer number (542687802559).

Almost surely, 2^{1085375605117} is an apocalyptic number.

It is an amenable number.

1085375605117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1085375605117 is an equidigital number, since it uses as much as digits as its factorization.

1085375605117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 882000, while the sum is 49.

The spelling of 1085375605117 in words is "one trillion, eighty-five billion, three hundred seventy-five million, six hundred five thousand, one hundred seventeen".