205201113012225 has 60 divisors (see below), whose sum is σ = 414658249154160. Its totient is φ = 99491448722400.

The previous prime is 205201113012143. The next prime is 205201113012241. The reversal of 205201113012225 is 522210311102502.

205201113012225 is a `hidden beast` number, since 2 + 0 + 5 + 20 + 111 + 301 + 2 + 225 = 666.

It is not a de Polignac number, because 205201113012225 - 2⁸ = 205201113011969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4606063315 + ... + 4606107864.

It is an arithmetic number, because the mean of its divisors is an integer number (6910970819236).

Almost surely, 2^{205201113012225} is an apocalyptic number.

205201113012225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205201113012225 is an abundant number, since it is smaller than the sum of its proper divisors (209457136141935).

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

205201113012225 is a wasteful number, since it uses less digits than its factorization.

205201113012225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9212171212 (or 9212171198 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 205201113012225 its reverse (522210311102502), we get a palindrome (727411424114727).

The spelling of 205201113012225 in words is "two hundred five trillion, two hundred one billion, one hundred thirteen million, twelve thousand, two hundred twenty-five".