5006105505559 has 8 divisors (see below), whose sum is σ = 5177335080960. Its totient is φ = 4837572459096.

The previous prime is 5006105505517. The next prime is 5006105505587. The reversal of 5006105505559 is 9555055016005.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 5006105505559 - 2⁷ = 5006105505431 is a prime.

It is a super-3 number, since 3×5006105505559³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5006105505589) 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 7 ways as a sum of consecutive naturals, for example, 674128459 + ... + 674135884.

It is an arithmetic number, because the mean of its divisors is an integer number (647166885120).

Almost surely, 2^{5006105505559} is an apocalyptic number.

5006105505559 is a deficient number, since it is larger than the sum of its proper divisors (171229575401).

5006105505559 is a wasteful number, since it uses less digits than its factorization.

5006105505559 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348264469.

The product of its (nonzero) digits is 843750, while the sum is 46.

The spelling of 5006105505559 in words is "five trillion, six billion, one hundred five million, five hundred five thousand, five hundred fifty-nine".