5505505005505 has 16 divisors (see below), whose sum is σ = 6632968326480. Its totient is φ = 4386832515072.

The previous prime is 5505505005401. The next prime is 5505505005509. The reversal of 5505505005505 is 5055005055055.

It can be written as a sum of positive squares in 8 ways, for example, as 74326026384 + 5431178979121 = 272628^2 + 2330489^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-5505505005505 is a prime.

It is a super-2 number, since 2×5505505005505² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5505505005509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13117567 + ... + 13530763.

It is an arithmetic number, because the mean of its divisors is an integer number (414560520405).

Almost surely, 2^{5505505005505} is an apocalyptic number.

It is an amenable number.

5505505005505 is a deficient number, since it is larger than the sum of its proper divisors (1127463320975).

5505505005505 is a wasteful number, since it uses less digits than its factorization.

5505505005505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423828.

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

The spelling of 5505505005505 in words is "five trillion, five hundred five billion, five hundred five million, five thousand, five hundred five".