505005110013 has 16 divisors (see below), whose sum is σ = 682113081600. Its totient is φ = 332286726720.

The previous prime is 505005110011. The next prime is 505005110039. The reversal of 505005110013 is 310011500505.

It is not a de Polignac number, because 505005110013 - 2¹ = 505005110011 is a prime.

It is a super-2 number, since 2×505005110013² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505005110011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260923 + ... + 1038311.

It is an arithmetic number, because the mean of its divisors is an integer number (42632067600).

Almost surely, 2^505005110013 is an apocalyptic number.

It is an amenable number.

505005110013 is a deficient number, since it is larger than the sum of its proper divisors (177107971587).

505005110013 is a wasteful number, since it uses less digits than its factorization.

505005110013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780212.

The product of its (nonzero) digits is 375, while the sum is 21.

Adding to 505005110013 its reverse (310011500505), we get a palindrome (815016610518).

The spelling of 505005110013 in words is "five hundred five billion, five million, one hundred ten thousand, thirteen".