205002133 has 24 divisors (see below), whose sum is σ = 253528704. Its totient is φ = 164707200.

The previous prime is 205002121. The next prime is 205002137. The reversal of 205002133 is 331200502.

It is not a de Polignac number, because 205002133 - 2¹³ = 204993941 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205002137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 358738 + ... + 359308.

It is an arithmetic number, because the mean of its divisors is an integer number (10563696).

Almost surely, 2^205002133 is an apocalyptic number.

It is an amenable number.

205002133 is a deficient number, since it is larger than the sum of its proper divisors (48526571).

205002133 is a wasteful number, since it uses less digits than its factorization.

205002133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 205002133 is about 14317.8955506736. The cubic root of 205002133 is about 589.6388990231.

Adding to 205002133 its reverse (331200502), we get a palindrome (536202635).

The spelling of 205002133 in words is "two hundred five million, two thousand, one hundred thirty-three".