5506105105601 has 8 divisors (see below), whose sum is σ = 5582008350720. Its totient is φ = 5430214756512.

The previous prime is 5506105105577. The next prime is 5506105105637. The reversal of 5506105105601 is 1065015016055.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-5506105105601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5506105105801) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2362625 + ... + 4073598.

It is an arithmetic number, because the mean of its divisors is an integer number (697751043840).

Almost surely, 2^{5506105105601} is an apocalyptic number.

It is an amenable number.

5506105105601 is a deficient number, since it is larger than the sum of its proper divisors (75903245119).

5506105105601 is a wasteful number, since it uses less digits than its factorization.

5506105105601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6448015.

The product of its (nonzero) digits is 22500, while the sum is 35.

The spelling of 5506105105601 in words is "five trillion, five hundred six billion, one hundred five million, one hundred five thousand, six hundred one".