205233413 has 48 divisors (see below), whose sum is σ = 275099328. Its totient is φ = 151200000.

The previous prime is 205233409. The next prime is 205233419. The reversal of 205233413 is 314332502.

205233413 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 205233413 - 2² = 205233409 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205233419) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 817538 + ... + 817788.

It is an arithmetic number, because the mean of its divisors is an integer number (5731236).

Almost surely, 2^205233413 is an apocalyptic number.

It is an amenable number.

205233413 is a deficient number, since it is larger than the sum of its proper divisors (69865915).

205233413 is a wasteful number, since it uses less digits than its factorization.

205233413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 205233413 is about 14325.9698799069. The cubic root of 205233413 is about 589.8605559568.

Adding to 205233413 its reverse (314332502), we get a palindrome (519565915).

The spelling of 205233413 in words is "two hundred five million, two hundred thirty-three thousand, four hundred thirteen".