36609082225 has 27 divisors (see below), whose sum is σ = 48244080801. Its totient is φ = 27552240000.

The previous prime is 36609082217. The next prime is 36609082231. The reversal of 36609082225 is 52228090663.

It is a happy number.

The square root of 36609082225 is 191335.

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 856323169 + 35752759056 = 29263^2 + 189084^2 .

It is not a de Polignac number, because 36609082225 - 2³ = 36609082217 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 (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16262350 + ... + 16264600.

Almost surely, 2^36609082225 is an apocalyptic number.

36609082225 is the 191335-th square number.

36609082225 is the 95668-th centered octagonal number.

It is an amenable number.

36609082225 is a deficient number, since it is larger than the sum of its proper divisors (11634998576).

36609082225 is an frugal number, since it uses more digits than its factorization.

36609082225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4546 (or 2273 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The spelling of 36609082225 in words is "thirty-six billion, six hundred nine million, eighty-two thousand, two hundred twenty-five".