205035205035 has 32 divisors (see below), whose sum is σ = 331362112320. Its totient is φ = 108250560000.

The previous prime is 205035205003. The next prime is 205035205049. The reversal of 205035205035 is 530502530502.

205035205035 is digitally balanced in base 11, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 205035205035 - 2⁵ = 205035205003 is a prime.

205035205035 is strictly pandigital in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 205035204993 and 205035205011.

It is an unprimeable number.

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 in 31 ways as a sum of consecutive naturals, for example, 14993181 + ... + 15006849.

It is an arithmetic number, because the mean of its divisors is an integer number (10355066010).

Almost surely, 2^205035205035 is an apocalyptic number.

205035205035 is a deficient number, since it is larger than the sum of its proper divisors (126326907285).

205035205035 is a wasteful number, since it uses less digits than its factorization.

205035205035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23679.

The product of its (nonzero) digits is 22500, while the sum is 30.

Adding to 205035205035 its reverse (530502530502), we get a palindrome (735537735537).

The spelling of 205035205035 in words is "two hundred five billion, thirty-five million, two hundred five thousand, thirty-five".