205005540353 has 2 divisors, whose sum is σ = 205005540354. Its totient is φ = 205005540352.

The previous prime is 205005540283. The next prime is 205005540373. The reversal of 205005540353 is 353045500502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 193874657344 + 11130883009 = 440312^2 + 105503^2 .

It is a cyclic number.

It is not a de Polignac number, because 205005540353 - 2¹⁰ = 205005539329 is a prime.

It is a super-2 number, since 2×205005540353² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (205005540373) 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, 102502770176 + 102502770177.

It is an arithmetic number, because the mean of its divisors is an integer number (102502770177).

Almost surely, 2^205005540353 is an apocalyptic number.

It is an amenable number.

205005540353 is a deficient number, since it is larger than the sum of its proper divisors (1).

205005540353 is an equidigital number, since it uses as much as digits as its factorization.

205005540353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45000, while the sum is 32.

The spelling of 205005540353 in words is "two hundred five billion, five million, five hundred forty thousand, three hundred fifty-three".