205005023404013 has 24 divisors (see below), whose sum is σ = 249018594179328. Its totient is φ = 167960535706656.

The previous prime is 205005023404003. The next prime is 205005023404063. The reversal of 205005023404013 is 310404320500502.

It is a happy number.

It is not a de Polignac number, because 205005023404013 - 2⁴ = 205005023403997 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 (205005023404003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62311706 + ... + 65519147.

It is an arithmetic number, because the mean of its divisors is an integer number (10375774757472).

Almost surely, 2^{205005023404013} is an apocalyptic number.

205005023404013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

205005023404013 is a deficient number, since it is larger than the sum of its proper divisors (44013570775315).

205005023404013 is a wasteful number, since it uses less digits than its factorization.

205005023404013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127832313 (or 127832306 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

Adding to 205005023404013 its reverse (310404320500502), we get a palindrome (515409343904515).

The spelling of 205005023404013 in words is "two hundred five trillion, five billion, twenty-three million, four hundred four thousand, thirteen".