205344151130241 has 12 divisors (see below), whose sum is σ = 296609227949268. Its totient is φ = 136895634761184.

The previous prime is 205344151130219. The next prime is 205344151130273. The reversal of 205344151130241 is 142031151443502.

205344151130241 is a `hidden beast` number, since 2 + 0 + 5 + 34 + 41 + 511 + 30 + 2 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 147880095075216 + 57464056055025 = 12160596^2 + 7580505^2 .

It is not a de Polignac number, because 205344151130241 - 2⁹ = 205344151129729 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205344151130196 and 205344151130205.

It is not an unprimeable number, because it can be changed into a prime (205344151130201) 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, 36031210 + ... + 41339283.

It is an arithmetic number, because the mean of its divisors is an integer number (24717435662439).

Almost surely, 2^{205344151130241} is an apocalyptic number.

It is an amenable number.

205344151130241 is a deficient number, since it is larger than the sum of its proper divisors (91265076819027).

205344151130241 is a wasteful number, since it uses less digits than its factorization.

205344151130241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77665392 (or 77665389 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 205344151130241 in words is "two hundred five trillion, three hundred forty-four billion, one hundred fifty-one million, one hundred thirty thousand, two hundred forty-one".