12563122161301 has 2 divisors, whose sum is σ = 12563122161302. Its totient is φ = 12563122161300.

The previous prime is 12563122161281. The next prime is 12563122161307. The reversal of 12563122161301 is 10316122136521.

12563122161301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11589081467076 + 974040694225 = 3404274^2 + 986935^2 .

It is a cyclic number.

It is not a de Polignac number, because 12563122161301 - 2⁷ = 12563122161173 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12563122161307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6281561080650 + 6281561080651.

It is an arithmetic number, because the mean of its divisors is an integer number (6281561080651).

Almost surely, 2^{12563122161301} is an apocalyptic number.

It is an amenable number.

12563122161301 is a deficient number, since it is larger than the sum of its proper divisors (1).

12563122161301 is an equidigital number, since it uses as much as digits as its factorization.

12563122161301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12960, while the sum is 34.

Adding to 12563122161301 its reverse (10316122136521), we get a palindrome (22879244297822).

The spelling of 12563122161301 in words is "twelve trillion, five hundred sixty-three billion, one hundred twenty-two million, one hundred sixty-one thousand, three hundred one".