205102813 has 2 divisors, whose sum is σ = 205102814. Its totient is φ = 205102812.

The previous prime is 205102811. The next prime is 205102823. The reversal of 205102813 is 318201502.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 158835609 + 46267204 = 12603^2 + 6802^2 .

It is a cyclic number.

It is not a de Polignac number, because 205102813 - 2¹ = 205102811 is a prime.

Together with 205102811, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205102811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102551406 + 102551407.

It is an arithmetic number, because the mean of its divisors is an integer number (102551407).

Almost surely, 2^205102813 is an apocalyptic number.

It is an amenable number.

205102813 is a deficient number, since it is larger than the sum of its proper divisors (1).

205102813 is an equidigital number, since it uses as much as digits as its factorization.

205102813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 205102813 is about 14321.4109989205. The cubic root of 205102813 is about 589.7354104232.

The spelling of 205102813 in words is "two hundred five million, one hundred two thousand, eight hundred thirteen".