12624355561561 has 2 divisors, whose sum is σ = 12624355561562. Its totient is φ = 12624355561560.

The previous prime is 12624355561357. The next prime is 12624355561669. The reversal of 12624355561561 is 16516555342621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6416190320400 + 6208165241161 = 2533020^2 + 2491619^2 .

It is an emirp because it is prime and its reverse (16516555342621) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12624355561561 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12624355561499 and 12624355561508.

It is not a weakly prime, because it can be changed into another prime (12624355361561) 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, 6312177780780 + 6312177780781.

It is an arithmetic number, because the mean of its divisors is an integer number (6312177780781).

Almost surely, 2^{12624355561561} is an apocalyptic number.

It is an amenable number.

12624355561561 is a deficient number, since it is larger than the sum of its proper divisors (1).

12624355561561 is an equidigital number, since it uses as much as digits as its factorization.

12624355561561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6480000, while the sum is 52.

The spelling of 12624355561561 in words is "twelve trillion, six hundred twenty-four billion, three hundred fifty-five million, five hundred sixty-one thousand, five hundred sixty-one".