205006315 has 16 divisors (see below), whose sum is σ = 261448992. Its totient is φ = 153782784.

The previous prime is 205006303. The next prime is 205006357. The reversal of 205006315 is 513600502.

It is a happy number.

205006315 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 205006315 - 2⁵ = 205006283 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19192 + ... + 27898.

It is an arithmetic number, because the mean of its divisors is an integer number (16340562).

Almost surely, 2^205006315 is an apocalyptic number.

205006315 is a deficient number, since it is larger than the sum of its proper divisors (56442677).

205006315 is a wasteful number, since it uses less digits than its factorization.

205006315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9006.

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 205006315 is about 14318.0415909439. The cubic root of 205006315 is about 589.6429084987.

Adding to 205006315 its reverse (513600502), we get a palindrome (718606817).

The spelling of 205006315 in words is "two hundred five million, six thousand, three hundred fifteen".