85488988225 has 9 divisors (see below), whose sum is σ = 106008158217. Its totient is φ = 68390021040.

The previous prime is 85488988219. The next prime is 85488988253. The reversal of 85488988225 is 52288988458.

The square root of 85488988225 is 292385.

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 1514221569 + 83974766656 = 38913^2 + 289784^2 .

It is not a de Polignac number, because 85488988225 - 2³³ = 76899053633 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 (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1432687 + ... + 1491163.

Almost surely, 2^85488988225 is an apocalyptic number.

85488988225 is the 292385-th square number.

85488988225 is the 146193-rd centered octagonal number.

It is an amenable number.

85488988225 is a deficient number, since it is larger than the sum of its proper divisors (20519169992).

85488988225 is an frugal number, since it uses more digits than its factorization.

85488988225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116964 (or 58482 counting only the distinct ones).

The product of its digits is 117964800, while the sum is 67.

The spelling of 85488988225 in words is "eighty-five billion, four hundred eighty-eight million, nine hundred eighty-eight thousand, two hundred twenty-five".