12605040921601 has 2 divisors, whose sum is σ = 12605040921602. Its totient is φ = 12605040921600.

The previous prime is 12605040921569. The next prime is 12605040921611. The reversal of 12605040921601 is 10612904050621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9709462232001 + 2895578689600 = 3116001^2 + 1701640^2 .

It is a cyclic number.

It is not a de Polignac number, because 12605040921601 - 2⁵ = 12605040921569 is a prime.

It is a super-3 number, since 3×12605040921601³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (12605040921611) 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, 6302520460800 + 6302520460801.

It is an arithmetic number, because the mean of its divisors is an integer number (6302520460801).

Almost surely, 2^{12605040921601} is an apocalyptic number.

It is an amenable number.

12605040921601 is a deficient number, since it is larger than the sum of its proper divisors (1).

12605040921601 is an equidigital number, since it uses as much as digits as its factorization.

12605040921601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25920, while the sum is 37.

The spelling of 12605040921601 in words is "twelve trillion, six hundred five billion, forty million, nine hundred twenty-one thousand, six hundred one".