33806338225 has 27 divisors (see below), whose sum is σ = 46090988139. Its totient is φ = 24579073200.

The previous prime is 33806338217. The next prime is 33806338243. The reversal of 33806338225 is 52283360833.

The square root of 33806338225 is 183865.

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

It can be written as a sum of positive squares in only one way, i.e., 12170281761 + 21636056464 = 110319^2 + 147092^2 .

It is not a de Polignac number, because 33806338225 - 2³ = 33806338217 is a prime.

It is a super-2 number, since 2×33806338225² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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, 10110904 + ... + 10114246.

Almost surely, 2^33806338225 is an apocalyptic number.

33806338225 is the 183865-th square number.

33806338225 is the 91933-rd centered octagonal number.

It is an amenable number.

33806338225 is a deficient number, since it is larger than the sum of its proper divisors (12284649914).

33806338225 is an frugal number, since it uses more digits than its factorization.

33806338225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6718 (or 3359 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 43.

The spelling of 33806338225 in words is "thirty-three billion, eight hundred six million, three hundred thirty-eight thousand, two hundred twenty-five".