1085224311081 has 39 divisors (see below), whose sum is σ = 1628975385831. Its totient is φ = 722976587928.

The previous prime is 1085224311029. The next prime is 1085224311091. The reversal of 1085224311081 is 1801134225801.

It is a happy number.

The square root of 1085224311081 is 1041741.

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

1085224311081 is a `hidden beast` number, since 1 + 0 + 8 + 522 + 43 + 1 + 10 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 73148070681 + 1012076240400 = 270459^2 + 1006020^2 .

It is not a de Polignac number, because 1085224311081 - 2¹⁷ = 1085224180009 is a prime.

It is a super-3 number, since 3×1085224311081³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1085224311001) by changing a digit.

It is a polite number, since it can be written in 38 ways as a sum of consecutive naturals, for example, 759428475 + ... + 759429903.

Almost surely, 2^{1085224311081} is an apocalyptic number.

1085224311081 is the 1041741-st square number.

1085224311081 is the 520871-st centered octagonal number.

It is an amenable number.

1085224311081 is a deficient number, since it is larger than the sum of its proper divisors (543751074750).

1085224311081 is an frugal number, since it uses more digits than its factorization.

1085224311081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2894 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

Multiplying 1085224311081 by its sum of digits (36), we get a square (39068075198916 = 6250446²).

Adding to 1085224311081 its reverse (1801134225801), we get a palindrome (2886358536882).

The spelling of 1085224311081 in words is "one trillion, eighty-five billion, two hundred twenty-four million, three hundred eleven thousand, eighty-one".