1085957820649 has 27 divisors (see below), whose sum is σ = 1241360911863. Its totient is φ = 949438427184.

The previous prime is 1085957820569. The next prime is 1085957820679. The reversal of 1085957820649 is 9460287595801.

It is a happy number.

The square root of 1085957820649 is 1042093.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 160644648025 + 925313172624 = 400805^2 + 961932^2 .

It is not a de Polignac number, because 1085957820649 - 2¹¹ = 1085957818601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1085957820679) 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 26 ways as a sum of consecutive naturals, for example, 257394862 + ... + 257399080.

It is an arithmetic number, because the mean of its divisors is an integer number (45976330069).

Almost surely, 2^{1085957820649} is an apocalyptic number.

1085957820649 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1085957820649 is the 1042093-rd square number.

1085957820649 is the 521047-th centered octagonal number.

It is an amenable number.

1085957820649 is a deficient number, since it is larger than the sum of its proper divisors (155403091214).

1085957820649 is an frugal number, since it uses more digits than its factorization.

1085957820649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8502 (or 4251 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 64.

Multiplying 1085957820649 by its sum of digits (64), we get a square (69501300521536 = 8336744²).

The spelling of 1085957820649 in words is "one trillion, eighty-five billion, nine hundred fifty-seven million, eight hundred twenty thousand, six hundred forty-nine".