112527221761 has 2 divisors, whose sum is σ = 112527221762. Its totient is φ = 112527221760.

The previous prime is 112527221711. The next prime is 112527221777. The reversal of 112527221761 is 167122725211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102627966736 + 9899255025 = 320356^2 + 99495^2 .

It is a cyclic number.

It is not a de Polignac number, because 112527221761 - 2³³ = 103937287169 is a prime.

It is a super-2 number, since 2×112527221761² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 112527221761.

It is not a weakly prime, because it can be changed into another prime (112527221711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56263610880 + 56263610881.

It is an arithmetic number, because the mean of its divisors is an integer number (56263610881).

Almost surely, 2^112527221761 is an apocalyptic number.

It is an amenable number.

112527221761 is a deficient number, since it is larger than the sum of its proper divisors (1).

112527221761 is an equidigital number, since it uses as much as digits as its factorization.

112527221761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 23520, while the sum is 37.

Adding to 112527221761 its reverse (167122725211), we get a palindrome (279649946972).

The spelling of 112527221761 in words is "one hundred twelve billion, five hundred twenty-seven million, two hundred twenty-one thousand, seven hundred sixty-one".