205210413 has 12 divisors (see below), whose sum is σ = 302722368. Its totient is φ = 133895880.

The previous prime is 205210367. The next prime is 205210429. The reversal of 205210413 is 314012502.

205210413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 205210413 - 2⁸ = 205210157 is a prime.

It is a super-2 number, since 2×205210413² = 84222627207261138, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205210463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 242143 + ... + 242988.

It is an arithmetic number, because the mean of its divisors is an integer number (25226864).

Almost surely, 2^205210413 is an apocalyptic number.

It is an amenable number.

205210413 is a deficient number, since it is larger than the sum of its proper divisors (97511955).

205210413 is a wasteful number, since it uses less digits than its factorization.

205210413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485184 (or 485181 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 205210413 is about 14325.1671194440. The cubic root of 205210413 is about 589.8385203967.

Adding to 205210413 its reverse (314012502), we get a palindrome (519222915).

The spelling of 205210413 in words is "two hundred five million, two hundred ten thousand, four hundred thirteen".