5005505550505 has 32 divisors (see below), whose sum is σ = 6140349216288. Its totient is φ = 3916235980800.

The previous prime is 5005505550457. The next prime is 5005505550527. The reversal of 5005505550505 is 5050555055005.

5005505550505 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 1437819226281 + 3567686324224 = 1199091^2 + 1888832^2 .

It is not a de Polignac number, because 5005505550505 - 2¹¹ = 5005505548457 is a prime.

It is a super-2 number, since 2×5005505550505² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43997595 + ... + 44111215.

It is an arithmetic number, because the mean of its divisors is an integer number (191885913009).

Almost surely, 2^{5005505550505} is an apocalyptic number.

It is an amenable number.

5005505550505 is a deficient number, since it is larger than the sum of its proper divisors (1134843665783).

5005505550505 is a wasteful number, since it uses less digits than its factorization.

5005505550505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114717.

The product of its (nonzero) digits is 390625, while the sum is 40.

The spelling of 5005505550505 in words is "five trillion, five billion, five hundred five million, five hundred fifty thousand, five hundred five".