205151813 has 2 divisors, whose sum is σ = 205151814. Its totient is φ = 205151812.

The previous prime is 205151729. The next prime is 205151833. The reversal of 205151813 is 318151502.

It is a happy number.

205151813 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., 205005124 + 146689 = 14318^2 + 383^2 .

It is a cyclic number.

It is not a de Polignac number, because 205151813 - 2²⁴ = 188374597 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205151833) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102575906 + 102575907.

It is an arithmetic number, because the mean of its divisors is an integer number (102575907).

Almost surely, 2^205151813 is an apocalyptic number.

It is an amenable number.

205151813 is a deficient number, since it is larger than the sum of its proper divisors (1).

205151813 is an equidigital number, since it uses as much as digits as its factorization.

205151813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1200, while the sum is 26.

The square root of 205151813 is about 14323.1216220487. The cubic root of 205151813 is about 589.7823701793.

The spelling of 205151813 in words is "two hundred five million, one hundred fifty-one thousand, eight hundred thirteen".