205040013 has 8 divisors (see below), whose sum is σ = 273979008. Its totient is φ = 136397184.

The previous prime is 205039981. The next prime is 205040027. The reversal of 205040013 is 310040502.

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

It is not a de Polignac number, because 205040013 - 2⁵ = 205039981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205039974 and 205040001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205040053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72420 + ... + 75197.

It is an arithmetic number, because the mean of its divisors is an integer number (34247376).

Almost surely, 2^205040013 is an apocalyptic number.

It is an amenable number.

205040013 is a deficient number, since it is larger than the sum of its proper divisors (68938995).

205040013 is a wasteful number, since it uses less digits than its factorization.

205040013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148083.

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 205040013 is about 14319.2183096704. The cubic root of 205040013 is about 589.6752143297.

Adding to 205040013 its reverse (310040502), we get a palindrome (515080515).

The spelling of 205040013 in words is "two hundred five million, forty thousand, thirteen".