205251201 has 12 divisors (see below), whose sum is σ = 296599680. Its totient is φ = 136776120.

The previous prime is 205251199. The next prime is 205251227. The reversal of 205251201 is 102152502.

205251201 is a `hidden beast` number, since 20 + 525 + 120 + 1 = 666.

It is not a de Polignac number, because 205251201 - 2¹ = 205251199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (205251301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33916 + ... + 39506.

It is an arithmetic number, because the mean of its divisors is an integer number (24716640).

Almost surely, 2^205251201 is an apocalyptic number.

It is an amenable number.

205251201 is a deficient number, since it is larger than the sum of its proper divisors (91348479).

205251201 is a wasteful number, since it uses less digits than its factorization.

205251201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9676 (or 9673 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 205251201 is about 14326.5906970221. The cubic root of 205251201 is about 589.8775969384.

The spelling of 205251201 in words is "two hundred five million, two hundred fifty-one thousand, two hundred one".