5110605110561 has 8 divisors (see below), whose sum is σ = 5411253686184. Its totient is φ = 4809959284480.

The previous prime is 5110605110543. The next prime is 5110605110573. The reversal of 5110605110561 is 1650115060115.

It can be written as a sum of positive squares in 4 ways, for example, as 2368828810000 + 2741776300561 = 1539100^2 + 1655831^2 .

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

It is not a de Polignac number, because 5110605110561 - 2⁶ = 5110605110497 is a prime.

It is a super-3 number, since 3×5110605110561³ (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 not an unprimeable number, because it can be changed into a prime (5110605110161) 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, 4086851 + ... + 5188791.

It is an arithmetic number, because the mean of its divisors is an integer number (676406710773).

Almost surely, 2^{5110605110561} is an apocalyptic number.

It is an amenable number.

5110605110561 is a deficient number, since it is larger than the sum of its proper divisors (300648575623).

5110605110561 is a wasteful number, since it uses less digits than its factorization.

5110605110561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374771.

The product of its (nonzero) digits is 4500, while the sum is 32.

The spelling of 5110605110561 in words is "five trillion, one hundred ten billion, six hundred five million, one hundred ten thousand, five hundred sixty-one".