500105506013 has 2 divisors, whose sum is σ = 500105506014. Its totient is φ = 500105506012.

The previous prime is 500105506009. The next prime is 500105506039. The reversal of 500105506013 is 310605501005.

It is an a-pointer prime, because the next prime (500105506039) can be obtained adding 500105506013 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 328956161209 + 171149344804 = 573547^2 + 413702^2 .

It is a cyclic number.

It is not a de Polignac number, because 500105506013 - 2² = 500105506009 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (500105506093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 250052753006 + 250052753007.

It is an arithmetic number, because the mean of its divisors is an integer number (250052753007).

Almost surely, 2^500105506013 is an apocalyptic number.

It is an amenable number.

500105506013 is a deficient number, since it is larger than the sum of its proper divisors (1).

500105506013 is an equidigital number, since it uses as much as digits as its factorization.

500105506013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2250, while the sum is 26.

The spelling of 500105506013 in words is "five hundred billion, one hundred five million, five hundred six thousand, thirteen".