55665324225 has 225 divisors, whose sum is σ = 121424209907. Its totient is φ = 25209182880.

The previous prime is 55665324191. The next prime is 55665324269. The reversal of 55665324225 is 52242356655.

The square root of 55665324225 is 235935.

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

55665324225 is a `hidden beast` number, since 5 + 56 + 6 + 532 + 42 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20039516721 + 35625807504 = 141561^2 + 188748^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 55665324225 - 2⁷ = 55665324097 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 (19) of ones.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 520236622 + ... + 520236728.

Almost surely, 2^55665324225 is an apocalyptic number.

55665324225 is the 235935-th square number.

55665324225 is the 117968-th centered octagonal number.

It is an amenable number.

55665324225 is an abundant number, since it is smaller than the sum of its proper divisors (65758885682).

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

55665324225 is an frugal number, since it uses more digits than its factorization.

55665324225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 122 counting only the distinct ones).

The product of its digits is 2160000, while the sum is 45.

The spelling of 55665324225 in words is "fifty-five billion, six hundred sixty-five million, three hundred twenty-four thousand, two hundred twenty-five".