33165873225 has 189 divisors, whose sum is σ = 66005879799. Its totient is φ = 16521472800.

The previous prime is 33165873173. The next prime is 33165873269. The reversal of 33165873225 is 52237856133.

The square root of 33165873225 is 182115.

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

33165873225 is a `hidden beast` number, since 3 + 3 + 16 + 587 + 32 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11939714361 + 21226158864 = 109269^2 + 145692^2 .

It is not a de Polignac number, because 33165873225 - 2²¹ = 33163776073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 188 ways as a sum of consecutive naturals, for example, 467124940 + ... + 467125010.

Almost surely, 2^33165873225 is an apocalyptic number.

33165873225 is the 182115-th square number.

33165873225 is the 91058-th centered octagonal number.

It is an amenable number.

33165873225 is a deficient number, since it is larger than the sum of its proper divisors (32840006574).

33165873225 is an frugal number, since it uses more digits than its factorization.

33165873225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 98 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The spelling of 33165873225 in words is "thirty-three billion, one hundred sixty-five million, eight hundred seventy-three thousand, two hundred twenty-five".