32904965601225 has 63 divisors (see below), whose sum is σ = 61176690755959. Its totient is φ = 17548901974800.

The previous prime is 32904965601149. The next prime is 32904965601239. The reversal of 32904965601225 is 52210656940923.

The square root of 32904965601225 is 5736285.

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

32904965601225 is a `hidden beast` number, since 3 + 2 + 9 + 0 + 4 + 9 + 6 + 5 + 601 + 2 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11845787616441 + 21059177984784 = 3441771^2 + 4589028^2 .

It is not a de Polignac number, because 32904965601225 - 2¹⁵ = 32904965568457 is a prime.

It is a super-2 number, since 2×32904965601225² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 774377230 + ... + 774419720.

Almost surely, 2^{32904965601225} is an apocalyptic number.

32904965601225 is the 5736285-th square number.

32904965601225 is the 2868143-rd centered octagonal number.

It is an amenable number.

32904965601225 is a deficient number, since it is larger than the sum of its proper divisors (28271725154734).

32904965601225 is an frugal number, since it uses more digits than its factorization.

32904965601225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85010 (or 42499 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 32904965601225 in words is "thirty-two trillion, nine hundred four billion, nine hundred sixty-five million, six hundred one thousand, two hundred twenty-five".