205053137 has 2 divisors, whose sum is σ = 205053138. Its totient is φ = 205053136.

The previous prime is 205053103. The next prime is 205053161. The reversal of 205053137 is 731350502.

205053137 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., 183439936 + 21613201 = 13544^2 + 4649^2 .

It is a cyclic number.

It is not a de Polignac number, because 205053137 - 2¹² = 205049041 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (205050137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102526568 + 102526569.

It is an arithmetic number, because the mean of its divisors is an integer number (102526569).

Almost surely, 2^205053137 is an apocalyptic number.

It is an amenable number.

205053137 is a deficient number, since it is larger than the sum of its proper divisors (1).

205053137 is an equidigital number, since it uses as much as digits as its factorization.

205053137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3150, while the sum is 26.

The square root of 205053137 is about 14319.6765675765. The cubic root of 205053137 is about 589.6877951788.

The spelling of 205053137 in words is "two hundred five million, fifty-three thousand, one hundred thirty-seven".