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205226506553 is a prime number
BaseRepresentation
bin1011111100100001110…
…0111111100100111001
3201121201120212201122012
42333020130333210321
511330300441202203
6234140232135305
720553463344305
oct2771034774471
9647646781565
10205226506553
117a044015a02
1233935b37535
1316478085bc3
149d0c2a4d05
15551221dbd8
hex2fc873f939

205226506553 has 2 divisors, whose sum is σ = 205226506554. Its totient is φ = 205226506552.

The previous prime is 205226506483. The next prime is 205226506571. The reversal of 205226506553 is 355605622502.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 164184608809 + 41041897744 = 405197^2 + 202588^2 .

It is a cyclic number.

It is not a de Polignac number, because 205226506553 - 232 = 200931539257 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 205226506553.

It is not a weakly prime, because it can be changed into another prime (205226506453) 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, 102613253276 + 102613253277.

It is an arithmetic number, because the mean of its divisors is an integer number (102613253277).

Almost surely, 2205226506553 is an apocalyptic number.

It is an amenable number.

205226506553 is a deficient number, since it is larger than the sum of its proper divisors (1).

205226506553 is an equidigital number, since it uses as much as digits as its factorization.

205226506553 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 540000, while the sum is 41.

The spelling of 205226506553 in words is "two hundred five billion, two hundred twenty-six million, five hundred six thousand, five hundred fifty-three".