6511105160617 has 16 divisors (see below), whose sum is σ = 6607052134992. Its totient is φ = 6416006676480.

The previous prime is 6511105160551. The next prime is 6511105160669. The reversal of 6511105160617 is 7160615011156.

It can be written as a sum of positive squares in 8 ways, for example, as 256784414121 + 6254320746496 = 506739^2 + 2500864^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-6511105160617 is a prime.

It is a super-2 number, since 2×6511105160617² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6511105160617.

It is not an unprimeable number, because it can be changed into a prime (6511105170617) 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, 11814117 + ... + 12352957.

It is an arithmetic number, because the mean of its divisors is an integer number (412940758437).

Almost surely, 2^{6511105160617} is an apocalyptic number.

It is an amenable number.

6511105160617 is a deficient number, since it is larger than the sum of its proper divisors (95946974375).

6511105160617 is a wasteful number, since it uses less digits than its factorization.

6511105160617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539628.

The product of its (nonzero) digits is 37800, while the sum is 40.

The spelling of 6511105160617 in words is "six trillion, five hundred eleven billion, one hundred five million, one hundred sixty thousand, six hundred seventeen".