205111993 has 2 divisors, whose sum is σ = 205111994. Its totient is φ = 205111992.

The previous prime is 205111943. The next prime is 205112003. The reversal of 205111993 is 399111502.

It is a happy number.

205111993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 204718864 + 393129 = 14308^2 + 627^2 .

It is a cyclic number.

It is not a de Polignac number, because 205111993 - 2⁹ = 205111481 is a prime.

It is not a weakly prime, because it can be changed into another prime (205111913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102555996 + 102555997.

It is an arithmetic number, because the mean of its divisors is an integer number (102555997).

Almost surely, 2^205111993 is an apocalyptic number.

It is an amenable number.

205111993 is a deficient number, since it is larger than the sum of its proper divisors (1).

205111993 is an equidigital number, since it uses as much as digits as its factorization.

205111993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2430, while the sum is 31.

The square root of 205111993 is about 14321.7314944807. The cubic root of 205111993 is about 589.7442087591.

The spelling of 205111993 in words is "two hundred five million, one hundred eleven thousand, nine hundred ninety-three".