205941005961601 has 4 divisors (see below), whose sum is σ = 208254949848900. Its totient is φ = 203627062074304.

The previous prime is 205941005961599. The next prime is 205941005961631. The reversal of 205941005961601 is 106169500149502.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 111909972720001 + 94031033241600 = 10578751^2 + 9696960^2 .

It is a cyclic number.

It is not a de Polignac number, because 205941005961601 - 2¹ = 205941005961599 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205941005961631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1156971943516 + ... + 1156971943693.

It is an arithmetic number, because the mean of its divisors is an integer number (52063737462225).

Almost surely, 2^{205941005961601} is an apocalyptic number.

It is an amenable number.

205941005961601 is a deficient number, since it is larger than the sum of its proper divisors (2313943887299).

205941005961601 is an equidigital number, since it uses as much as digits as its factorization.

205941005961601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2313943887298.

The product of its (nonzero) digits is 583200, while the sum is 49.

The spelling of 205941005961601 in words is "two hundred five trillion, nine hundred forty-one billion, five million, nine hundred sixty-one thousand, six hundred one".