1085577317829 has 10 divisors (see below), whose sum is σ = 1621664882310. Its totient is φ = 723718211832.

The previous prime is 1085577317761. The next prime is 1085577317843. The reversal of 1085577317829 is 9287137755801.

1085577317829 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 577 + 31 + 7 + 8 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 663454233729 + 422123084100 = 814527^2 + 649710^2 .

It is not a de Polignac number, because 1085577317829 - 2⁹ = 1085577317317 is a prime.

It is a super-2 number, since 2×1085577317829² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085577317849) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6701094474 + ... + 6701094635.

It is an arithmetic number, because the mean of its divisors is an integer number (162166488231).

Almost surely, 2^{1085577317829} is an apocalyptic number.

It is an amenable number.

1085577317829 is a deficient number, since it is larger than the sum of its proper divisors (536087564481).

1085577317829 is an equidigital number, since it uses as much as digits as its factorization.

1085577317829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13402189121 (or 13402189112 counting only the distinct ones).

The product of its (nonzero) digits is 29635200, while the sum is 63.

The spelling of 1085577317829 in words is "one trillion, eighty-five billion, five hundred seventy-seven million, three hundred seventeen thousand, eight hundred twenty-nine".