9085492066225 has 27 divisors (see below), whose sum is σ = 11350260767937. Its totient is φ = 7214439204480.

The previous prime is 9085492066187. The next prime is 9085492066253. The reversal of 9085492066225 is 5226602945809.

It is a happy number.

The square root of 9085492066225 is 3014215.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4855707523489 + 4229784542736 = 2203567^2 + 2056644^2 .

It is not a de Polignac number, because 9085492066225 - 2⁴³ = 289399044017 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9085492066225.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2094877257 + ... + 2094881593.

Almost surely, 2^{9085492066225} is an apocalyptic number.

9085492066225 is the 3014215-th square number.

9085492066225 is the 1507108-th centered octagonal number.

It is an amenable number.

9085492066225 is a deficient number, since it is larger than the sum of its proper divisors (2264768701712).

9085492066225 is an frugal number, since it uses more digits than its factorization.

9085492066225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8962 (or 4481 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 58.

The spelling of 9085492066225 in words is "nine trillion, eighty-five billion, four hundred ninety-two million, sixty-six thousand, two hundred twenty-five".