205535880438281 has 2 divisors, whose sum is σ = 205535880438282. Its totient is φ = 205535880438280.

The previous prime is 205535880438269. The next prime is 205535880438323. The reversal of 205535880438281 is 182834088535502.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 190619994510400 + 14915885927881 = 13806520^2 + 3862109^2 .

It is a cyclic number.

It is not a de Polignac number, because 205535880438281 - 2³⁸ = 205261002531337 is a prime.

It is a super-2 number, since 2×205535880438281² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (205535880438481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102767940219140 + 102767940219141.

It is an arithmetic number, because the mean of its divisors is an integer number (102767940219141).

Almost surely, 2^{205535880438281} is an apocalyptic number.

It is an amenable number.

205535880438281 is a deficient number, since it is larger than the sum of its proper divisors (1).

205535880438281 is an equidigital number, since it uses as much as digits as its factorization.

205535880438281 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 73728000, while the sum is 62.

The spelling of 205535880438281 in words is "two hundred five trillion, five hundred thirty-five billion, eight hundred eighty million, four hundred thirty-eight thousand, two hundred eighty-one".