205052137 has 2 divisors, whose sum is σ = 205052138. Its totient is φ = 205052136.

The previous prime is 205052101. The next prime is 205052149. The reversal of 205052137 is 731250502.

205052137 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., 127893481 + 77158656 = 11309^2 + 8784^2 .

It is a cyclic number.

It is not a de Polignac number, because 205052137 - 2¹⁵ = 205019369 is a 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, 102526068 + 102526069.

It is an arithmetic number, because the mean of its divisors is an integer number (102526069).

Almost surely, 2^205052137 is an apocalyptic number.

It is an amenable number.

205052137 is a deficient number, since it is larger than the sum of its proper divisors (1).

205052137 is an equidigital number, since it uses as much as digits as its factorization.

205052137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 205052137 is about 14319.6416505442. The cubic root of 205052137 is about 589.6868365838.

The spelling of 205052137 in words is "two hundred five million, fifty-two thousand, one hundred thirty-seven".