12562647126401 has 2 divisors, whose sum is σ = 12562647126402. Its totient is φ = 12562647126400.

The previous prime is 12562647126353. The next prime is 12562647126433. The reversal of 12562647126401 is 10462174626521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12512526663025 + 50120463376 = 3537305^2 + 223876^2 .

It is a cyclic number.

It is not a de Polignac number, because 12562647126401 - 2¹⁰ = 12562647125377 is a prime.

It is not a weakly prime, because it can be changed into another prime (12562647126451) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6281323563200 + 6281323563201.

It is an arithmetic number, because the mean of its divisors is an integer number (6281323563201).

Almost surely, 2^{12562647126401} is an apocalyptic number.

It is an amenable number.

12562647126401 is a deficient number, since it is larger than the sum of its proper divisors (1).

12562647126401 is an equidigital number, since it uses as much as digits as its factorization.

12562647126401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 967680, while the sum is 47.

The spelling of 12562647126401 in words is "twelve trillion, five hundred sixty-two billion, six hundred forty-seven million, one hundred twenty-six thousand, four hundred one".