206006168997225 has 27 divisors (see below), whose sum is σ = 368980323863749. Its totient is φ = 109869841975200.

The previous prime is 206006168997193. The next prime is 206006168997227. The reversal of 206006168997225 is 522799861600602.

The square root of 206006168997225 is 14352915.

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

206006168997225 is a `hidden beast` number, since 2 + 0 + 6 + 0 + 0 + 616 + 8 + 9 + 9 + 7 + 2 + 2 + 5 = 666.

206006168997225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 108094510716201 + 97911658281024 = 10396851^2 + 9895032^2 .

It is not a de Polignac number, because 206006168997225 - 2⁵ = 206006168997193 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (206006168997227) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 214815295 + ... + 215772155.

Almost surely, 2^{206006168997225} is an apocalyptic number.

206006168997225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

206006168997225 is the 14352915-th square number.

206006168997225 is the 7176458-th centered octagonal number.

It is an amenable number.

206006168997225 is a deficient number, since it is larger than the sum of its proper divisors (162974154866524).

206006168997225 is an frugal number, since it uses more digits than its factorization.

206006168997225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913738 (or 956869 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 206006168997225 in words is "two hundred six trillion, six billion, one hundred sixty-eight million, nine hundred ninety-seven thousand, two hundred twenty-five".