205975739471041 has 8 divisors (see below), whose sum is σ = 206389273229568. Its totient is φ = 205562576100000.

The previous prime is 205975739470999. The next prime is 205975739471063. The reversal of 205975739471041 is 140174937579502.

205975739471041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 205975739471041 - 2¹⁷ = 205975739339969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205975739471081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91483525 + ... + 93707986.

It is an arithmetic number, because the mean of its divisors is an integer number (25798659153696).

Almost surely, 2^{205975739471041} is an apocalyptic number.

It is an amenable number.

205975739471041 is a deficient number, since it is larger than the sum of its proper divisors (413533758527).

205975739471041 is a wasteful number, since it uses less digits than its factorization.

205975739471041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185193743.

The product of its (nonzero) digits is 66679200, while the sum is 64.

The spelling of 205975739471041 in words is "two hundred five trillion, nine hundred seventy-five billion, seven hundred thirty-nine million, four hundred seventy-one thousand, forty-one".