166200552225 has 36 divisors (see below), whose sum is σ = 307948621500. Its totient is φ = 85583729280.

The previous prime is 166200552197. The next prime is 166200552251. The reversal of 166200552225 is 522255002661.

166200552225 is a `hidden beast` number, since 1 + 6 + 620 + 0 + 5 + 5 + 2 + 2 + 25 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 39837365649 + 126363186576 = 199593^2 + 355476^2 .

It is not a de Polignac number, because 166200552225 - 2⁷ = 166200552097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 166200552225.

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 35 ways as a sum of consecutive naturals, for example, 12729150 + ... + 12742199.

It is an arithmetic number, because the mean of its divisors is an integer number (8554128375).

Almost surely, 2^166200552225 is an apocalyptic number.

166200552225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

166200552225 is a deficient number, since it is larger than the sum of its proper divisors (141748069275).

166200552225 is a wasteful number, since it uses less digits than its factorization.

166200552225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25471394 (or 25471386 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 166200552225 its reverse (522255002661), we get a palindrome (688455554886).

The spelling of 166200552225 in words is "one hundred sixty-six billion, two hundred million, five hundred fifty-two thousand, two hundred twenty-five".