205317672541 has 2 divisors, whose sum is σ = 205317672542. Its totient is φ = 205317672540.

The previous prime is 205317672517. The next prime is 205317672577. The reversal of 205317672541 is 145276713502.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 201250932100 + 4066740441 = 448610^2 + 63771^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-205317672541 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205317672641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102658836270 + 102658836271.

It is an arithmetic number, because the mean of its divisors is an integer number (102658836271).

Almost surely, 2^205317672541 is an apocalyptic number.

It is an amenable number.

205317672541 is a deficient number, since it is larger than the sum of its proper divisors (1).

205317672541 is an equidigital number, since it uses as much as digits as its factorization.

205317672541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 352800, while the sum is 43.

The spelling of 205317672541 in words is "two hundred five billion, three hundred seventeen million, six hundred seventy-two thousand, five hundred forty-one".