205351249 has 2 divisors, whose sum is σ = 205351250. Its totient is φ = 205351248.

The previous prime is 205351229. The next prime is 205351261. The reversal of 205351249 is 942153502.

205351249 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., 179747649 + 25603600 = 13407^2 + 5060^2 .

It is a cyclic number.

It is not a de Polignac number, because 205351249 - 2⁵ = 205351217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 205351249.

It is not a weakly prime, because it can be changed into another prime (205351219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102675624 + 102675625.

It is an arithmetic number, because the mean of its divisors is an integer number (102675625).

Almost surely, 2^205351249 is an apocalyptic number.

It is an amenable number.

205351249 is a deficient number, since it is larger than the sum of its proper divisors (1).

205351249 is an equidigital number, since it uses as much as digits as its factorization.

205351249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 205351249 is about 14330.0819606868. The cubic root of 205351249 is about 589.9734250215.

The spelling of 205351249 in words is "two hundred five million, three hundred fifty-one thousand, two hundred forty-nine".