12533146264801 has 2 divisors, whose sum is σ = 12533146264802. Its totient is φ = 12533146264800.

The previous prime is 12533146264789. The next prime is 12533146264823. The reversal of 12533146264801 is 10846264133521.

12533146264801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11095427760400 + 1437718504401 = 3330980^2 + 1199049^2 .

It is an emirp because it is prime and its reverse (10846264133521) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12533146264801 is a prime.

It is not a weakly prime, because it can be changed into another prime (12533146264871) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6266573132400 + 6266573132401.

It is an arithmetic number, because the mean of its divisors is an integer number (6266573132401).

Almost surely, 2^{12533146264801} is an apocalyptic number.

It is an amenable number.

12533146264801 is a deficient number, since it is larger than the sum of its proper divisors (1).

12533146264801 is an equidigital number, since it uses as much as digits as its factorization.

12533146264801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 829440, while the sum is 46.

The spelling of 12533146264801 in words is "twelve trillion, five hundred thirty-three billion, one hundred forty-six million, two hundred sixty-four thousand, eight hundred one".