12544624002353 has 2 divisors, whose sum is σ = 12544624002354. Its totient is φ = 12544624002352.

The previous prime is 12544624002341. The next prime is 12544624002359. The reversal of 12544624002353 is 35320042644521.

12544624002353 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., 11185760518144 + 1358863484209 = 3344512^2 + 1165703^2 .

It is a cyclic number.

It is not a de Polignac number, because 12544624002353 - 2⁶ = 12544624002289 is a prime.

It is a super-2 number, since 2×12544624002353² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12544624002353.

It is not a weakly prime, because it can be changed into another prime (12544624002359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6272312001176 + 6272312001177.

It is an arithmetic number, because the mean of its divisors is an integer number (6272312001177).

Almost surely, 2^{12544624002353} is an apocalyptic number.

It is an amenable number.

12544624002353 is a deficient number, since it is larger than the sum of its proper divisors (1).

12544624002353 is an equidigital number, since it uses as much as digits as its factorization.

12544624002353 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 691200, while the sum is 41.

Adding to 12544624002353 its reverse (35320042644521), we get a palindrome (47864666646874).

The spelling of 12544624002353 in words is "twelve trillion, five hundred forty-four billion, six hundred twenty-four million, two thousand, three hundred fifty-three".