110605505509 has 2 divisors, whose sum is σ = 110605505510. Its totient is φ = 110605505508.

The previous prime is 110605505489. The next prime is 110605505513. The reversal of 110605505509 is 905505506011.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109842530625 + 762974884 = 331425^2 + 27622^2 .

It is a cyclic number.

It is not a de Polignac number, because 110605505509 - 2¹¹ = 110605503461 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110605506509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55302752754 + 55302752755.

It is an arithmetic number, because the mean of its divisors is an integer number (55302752755).

Almost surely, 2^110605505509 is an apocalyptic number.

It is an amenable number.

110605505509 is a deficient number, since it is larger than the sum of its proper divisors (1).

110605505509 is an equidigital number, since it uses as much as digits as its factorization.

110605505509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 33750, while the sum is 37.

The spelling of 110605505509 in words is "one hundred ten billion, six hundred five million, five hundred five thousand, five hundred nine".