32802264225 has 60 divisors (see below), whose sum is σ = 62243268780. Its totient is φ = 17067801600.

The previous prime is 32802264217. The next prime is 32802264241. The reversal of 32802264225 is 52246220823.

32802264225 is a `hidden beast` number, since 3 + 2 + 8 + 0 + 2 + 2 + 642 + 2 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1609052769 + 31193211456 = 40113^2 + 176616^2 .

It is not a de Polignac number, because 32802264225 - 2³ = 32802264217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 32802264225.

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 59 ways as a sum of consecutive naturals, for example, 114520 + ... + 280569.

It is an arithmetic number, because the mean of its divisors is an integer number (1037387813).

Almost surely, 2^32802264225 is an apocalyptic number.

It is an amenable number.

32802264225 is a deficient number, since it is larger than the sum of its proper divisors (29441004555).

32802264225 is a wasteful number, since it uses less digits than its factorization.

32802264225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395152 (or 395138 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 32802264225 in words is "thirty-two billion, eight hundred two million, two hundred sixty-four thousand, two hundred twenty-five".