110605610510573 has 2 divisors, whose sum is σ = 110605610510574. Its totient is φ = 110605610510572.

The previous prime is 110605610510519. The next prime is 110605610510617. The reversal of 110605610510573 is 375015016506011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71014295292004 + 39591315218569 = 8426998^2 + 6292163^2 .

It is a cyclic number.

It is not a de Polignac number, because 110605610510573 - 2⁶ = 110605610510509 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 110605610510573.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110605610510873) 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 as a sum of consecutive naturals, namely, 55302805255286 + 55302805255287.

It is an arithmetic number, because the mean of its divisors is an integer number (55302805255287).

Almost surely, 2^{110605610510573} is an apocalyptic number.

It is an amenable number.

110605610510573 is a deficient number, since it is larger than the sum of its proper divisors (1).

110605610510573 is an equidigital number, since it uses as much as digits as its factorization.

110605610510573 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 94500, while the sum is 41.

The spelling of 110605610510573 in words is "one hundred ten trillion, six hundred five billion, six hundred ten million, five hundred ten thousand, five hundred seventy-three".