205305133 has 8 divisors (see below), whose sum is σ = 224219520. Its totient is φ = 186432480.

The previous prime is 205305131. The next prime is 205305137. The reversal of 205305133 is 331503502.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 205305133 - 2¹ = 205305131 is a prime.

It is a super-2 number, since 2×205305133² = 84300395272295378, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205305131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 348 + ... + 20266.

It is an arithmetic number, because the mean of its divisors is an integer number (28027440).

Almost surely, 2^205305133 is an apocalyptic number.

It is an amenable number.

205305133 is a deficient number, since it is larger than the sum of its proper divisors (18914387).

205305133 is a wasteful number, since it uses less digits than its factorization.

205305133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20867.

The product of its (nonzero) digits is 1350, while the sum is 22.

The square root of 205305133 is about 14328.4728076652. The cubic root of 205305133 is about 589.9292580126.

Adding to 205305133 its reverse (331503502), we get a palindrome (536808635).

The spelling of 205305133 in words is "two hundred five million, three hundred five thousand, one hundred thirty-three".