12527066621761 has 2 divisors, whose sum is σ = 12527066621762. Its totient is φ = 12527066621760.

The previous prime is 12527066621759. The next prime is 12527066621837. The reversal of 12527066621761 is 16712666072521.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10673027641600 + 1854038980161 = 3266960^2 + 1361631^2 .

It is a cyclic number.

It is not a de Polignac number, because 12527066621761 - 2¹ = 12527066621759 is a prime.

It is a super-2 number, since 2×12527066621761² (a number of 27 digits) contains 22 as substring.

Together with 12527066621759, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 12527066621699 and 12527066621708.

It is not a weakly prime, because it can be changed into another prime (12527066621731) 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, 6263533310880 + 6263533310881.

It is an arithmetic number, because the mean of its divisors is an integer number (6263533310881).

Almost surely, 2^{12527066621761} is an apocalyptic number.

It is an amenable number.

12527066621761 is a deficient number, since it is larger than the sum of its proper divisors (1).

12527066621761 is an equidigital number, since it uses as much as digits as its factorization.

12527066621761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2540160, while the sum is 52.

The spelling of 12527066621761 in words is "twelve trillion, five hundred twenty-seven billion, sixty-six million, six hundred twenty-one thousand, seven hundred sixty-one".