225527160609 has 27 divisors (see below), whose sum is σ = 327455615539. Its totient is φ = 149573559120.

The previous prime is 225527160581. The next prime is 225527160643. The reversal of 225527160609 is 906061725522.

The square root of 225527160609 is 474897.

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

225527160609 is a `hidden beast` number, since 2 + 2 + 5 + 5 + 27 + 16 + 0 + 609 = 666.

225527160609 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 183395493009 + 42131667600 = 428247^2 + 205260^2 .

It is not a de Polignac number, because 225527160609 - 2¹⁵ = 225527127841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (225527110609) 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, 443078647 + ... + 443079155.

Almost surely, 2^225527160609 is an apocalyptic number.

225527160609 is the 474897-th square number.

225527160609 is the 237449-th centered octagonal number.

It is an amenable number.

225527160609 is a deficient number, since it is larger than the sum of its proper divisors (101928454930).

225527160609 is an frugal number, since it uses more digits than its factorization.

225527160609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 225527160609 in words is "two hundred twenty-five billion, five hundred twenty-seven million, one hundred sixty thousand, six hundred nine".