205583603097641 has 2 divisors, whose sum is σ = 205583603097642. Its totient is φ = 205583603097640.

The previous prime is 205583603097589. The next prime is 205583603097643. The reversal of 205583603097641 is 146790306385502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 201413005920025 + 4170597177616 = 14192005^2 + 2042204^2 .

It is a cyclic number.

It is not a de Polignac number, because 205583603097641 - 2²² = 205583598903337 is a prime.

Together with 205583603097643, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (205583603097643) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102791801548820 + 102791801548821.

It is an arithmetic number, because the mean of its divisors is an integer number (102791801548821).

It is a 1-persistent number, because it is pandigital, but 2⋅205583603097641 = 411167206195282 is not.

Almost surely, 2^{205583603097641} is an apocalyptic number.

It is an amenable number.

205583603097641 is a deficient number, since it is larger than the sum of its proper divisors (1).

205583603097641 is an equidigital number, since it uses as much as digits as its factorization.

205583603097641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32659200, while the sum is 59.

The spelling of 205583603097641 in words is "two hundred five trillion, five hundred eighty-three billion, six hundred three million, ninety-seven thousand, six hundred forty-one".