85185793048225 has 27 divisors (see below), whose sum is σ = 105797453896857. Its totient is φ = 68041017127680.

The previous prime is 85185793048207. The next prime is 85185793048231. The reversal of 85185793048225 is 52284039758158.

The square root of 85185793048225 is 9229615.

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 42813348462481 + 42372444585744 = 6543191^2 + 6509412^2 .

It is not a de Polignac number, because 85185793048225 - 2⁵ = 85185793048193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 42871560682 + ... + 42871562668.

Almost surely, 2^{85185793048225} is an apocalyptic number.

85185793048225 is the 9229615-th square number.

85185793048225 is the 4614808-th centered octagonal number.

It is an amenable number.

85185793048225 is a deficient number, since it is larger than the sum of its proper divisors (20611660848632).

85185793048225 is an frugal number, since it uses more digits than its factorization.

85185793048225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5842 (or 2921 counting only the distinct ones).

The product of its (nonzero) digits is 193536000, while the sum is 67.

The spelling of 85185793048225 in words is "eighty-five trillion, one hundred eighty-five billion, seven hundred ninety-three million, forty-eight thousand, two hundred twenty-five".