12564261336301 has 16 divisors (see below), whose sum is σ = 13713360880896. Its totient is φ = 11465422967296.

The previous prime is 12564261336293. The next prime is 12564261336331. The reversal of 12564261336301 is 10363316246521.

It is a cyclic number.

It is not a de Polignac number, because 12564261336301 - 2³ = 12564261336293 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12564261336331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73395736 + ... + 73566721.

It is an arithmetic number, because the mean of its divisors is an integer number (857085055056).

Almost surely, 2^{12564261336301} is an apocalyptic number.

It is an amenable number.

12564261336301 is a deficient number, since it is larger than the sum of its proper divisors (1149099544595).

12564261336301 is a wasteful number, since it uses less digits than its factorization.

12564261336301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146962628.

The product of its (nonzero) digits is 466560, while the sum is 43.

The spelling of 12564261336301 in words is "twelve trillion, five hundred sixty-four billion, two hundred sixty-one million, three hundred thirty-six thousand, three hundred one".