6552717511101 has 64 divisors (see below), whose sum is σ = 9201662668800. Its totient is φ = 4143747041280.

The previous prime is 6552717511033. The next prime is 6552717511157. The reversal of 6552717511101 is 1011157172556.

6552717511101 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 6552717511101 - 2⁷ = 6552717510973 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6552717516101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 255623181 + ... + 255648813.

It is an arithmetic number, because the mean of its divisors is an integer number (143775979200).

Almost surely, 2^{6552717511101} is an apocalyptic number.

It is an amenable number.

6552717511101 is a deficient number, since it is larger than the sum of its proper divisors (2648945157699).

6552717511101 is a wasteful number, since it uses less digits than its factorization.

6552717511101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26106.

The product of its (nonzero) digits is 73500, while the sum is 42.

The spelling of 6552717511101 in words is "six trillion, five hundred fifty-two billion, seven hundred seventeen million, five hundred eleven thousand, one hundred one".