205002153 has 18 divisors (see below), whose sum is σ = 312524394. Its totient is φ = 129472992.

The previous prime is 205002139. The next prime is 205002157. The reversal of 205002153 is 351200502.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 109998144 + 95004009 = 10488^2 + 9747^2 .

It is not a de Polignac number, because 205002153 - 2⁴ = 205002137 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (205002157) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28300 + ... + 34797.

Almost surely, 2^205002153 is an apocalyptic number.

It is an amenable number.

205002153 is a deficient number, since it is larger than the sum of its proper divisors (107522241).

205002153 is a wasteful number, since it uses less digits than its factorization.

205002153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63141 (or 63119 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 205002153 is about 14317.8962491003. The cubic root of 205002153 is about 589.6389181982.

Adding to 205002153 its reverse (351200502), we get a palindrome (556202655).

The spelling of 205002153 in words is "two hundred five million, two thousand, one hundred fifty-three".