205130003 has 12 divisors (see below), whose sum is σ = 222959880. Its totient is φ = 188637696.

The previous prime is 205129997. The next prime is 205130111. The reversal of 205130003 is 300031502.

It is not a de Polignac number, because 205130003 - 2¹⁶ = 205064467 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 205130003.

It is not an unprimeable number, because it can be changed into a prime (205139003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45683 + ... + 49971.

It is an arithmetic number, because the mean of its divisors is an integer number (18579990).

Almost surely, 2^205130003 is an apocalyptic number.

205130003 is a deficient number, since it is larger than the sum of its proper divisors (17829877).

205130003 is a wasteful number, since it uses less digits than its factorization.

205130003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4598 (or 4585 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 205130003 is about 14322.3602454344. The cubic root of 205130003 is about 589.7614692196.

Adding to 205130003 its reverse (300031502), we get a palindrome (505161505).

The spelling of 205130003 in words is "two hundred five million, one hundred thirty thousand, three".