1085306071249 has 12 divisors (see below), whose sum is σ = 1145484882000. Its totient is φ = 1028138874840.

The previous prime is 1085306071231. The next prime is 1085306071273. The reversal of 1085306071249 is 9421706035801.

It is not a de Polignac number, because 1085306071249 - 2⁷ = 1085306071121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1085306071199 and 1085306071208.

It is not an unprimeable number, because it can be changed into a prime (1085306071219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10235394 + ... + 10340884.

It is an arithmetic number, because the mean of its divisors is an integer number (95457073500).

It is a 1-persistent number, because it is pandigital, but 2⋅1085306071249 = 2170612142498 is not.

Almost surely, 2^{1085306071249} is an apocalyptic number.

1085306071249 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

1085306071249 is a deficient number, since it is larger than the sum of its proper divisors (60178810751).

1085306071249 is a wasteful number, since it uses less digits than its factorization.

1085306071249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134028 (or 134009 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 1085306071249 in words is "one trillion, eighty-five billion, three hundred six million, seventy-one thousand, two hundred forty-nine".