205306530301 has 2 divisors, whose sum is σ = 205306530302. Its totient is φ = 205306530300.

The previous prime is 205306530259. The next prime is 205306530313. The reversal of 205306530301 is 103035603502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 159062178276 + 46244352025 = 398826^2 + 215045^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-205306530301 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 205306530301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205306530371) 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, 102653265150 + 102653265151.

It is an arithmetic number, because the mean of its divisors is an integer number (102653265151).

Almost surely, 2^205306530301 is an apocalyptic number.

It is an amenable number.

205306530301 is a deficient number, since it is larger than the sum of its proper divisors (1).

205306530301 is an equidigital number, since it uses as much as digits as its factorization.

205306530301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8100, while the sum is 28.

The spelling of 205306530301 in words is "two hundred five billion, three hundred six million, five hundred thirty thousand, three hundred one".