33100344225 has 135 divisors (see below), whose sum is σ = 66606653289. Its totient is φ = 16243156800.

The previous prime is 33100344203. The next prime is 33100344259. The reversal of 33100344225 is 52244300133.

The square root of 33100344225 is 181935.

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

33100344225 is a `hidden beast` number, since 3 + 310 + 0 + 344 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8531662689 + 24568681536 = 92367^2 + 156744^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 33100344225 - 2⁷ = 33100344097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 106431820 + ... + 106432130.

Almost surely, 2^33100344225 is an apocalyptic number.

33100344225 is the 181935-th square number.

33100344225 is the 90968-th centered octagonal number.

It is an amenable number.

33100344225 is an abundant number, since it is smaller than the sum of its proper divisors (33506309064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33100344225 is an equidigital number, since it uses as much as digits as its factorization.

33100344225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 33100344225 its reverse (52244300133), we get a palindrome (85344644358).

The spelling of 33100344225 in words is "thirty-three billion, one hundred million, three hundred forty-four thousand, two hundred twenty-five".