205534431213201 has 12 divisors (see below), whose sum is σ = 300218832110340. Its totient is φ = 135483370387200.

The previous prime is 205534431213193. The next prime is 205534431213211. The reversal of 205534431213201 is 102312134435502.

205534431213201 is a `hidden beast` number, since 2 + 0 + 5 + 5 + 3 + 4 + 431 + 2 + 13 + 201 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 84438162072576 + 121096269140625 = 9189024^2 + 11004375^2 .

It is not a de Polignac number, because 205534431213201 - 2³ = 205534431213193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (205534431213211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128298645400 + ... + 128298647001.

It is an arithmetic number, because the mean of its divisors is an integer number (25018236009195).

Almost surely, 2^{205534431213201} is an apocalyptic number.

It is an amenable number.

205534431213201 is a deficient number, since it is larger than the sum of its proper divisors (94684400897139).

205534431213201 is a wasteful number, since it uses less digits than its factorization.

205534431213201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256597292496 (or 256597292493 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 205534431213201 its reverse (102312134435502), we get a palindrome (307846565648703).

The spelling of 205534431213201 in words is "two hundred five trillion, five hundred thirty-four billion, four hundred thirty-one million, two hundred thirteen thousand, two hundred one".