12951733405753 has 2 divisors, whose sum is σ = 12951733405754. Its totient is φ = 12951733405752.

The previous prime is 12951733405733. The next prime is 12951733405757. The reversal of 12951733405753 is 35750433715921.

12951733405753 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., 10528642675369 + 2423090730384 = 3244787^2 + 1556628^2 .

It is an emirp because it is prime and its reverse (35750433715921) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12951733405753 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12951733405694 and 12951733405703.

It is not a weakly prime, because it can be changed into another prime (12951733405757) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6475866702876 + 6475866702877.

It is an arithmetic number, because the mean of its divisors is an integer number (6475866702877).

Almost surely, 2^{12951733405753} is an apocalyptic number.

It is an amenable number.

12951733405753 is a deficient number, since it is larger than the sum of its proper divisors (1).

12951733405753 is an equidigital number, since it uses as much as digits as its factorization.

12951733405753 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11907000, while the sum is 55.

The spelling of 12951733405753 in words is "twelve trillion, nine hundred fifty-one billion, seven hundred thirty-three million, four hundred five thousand, seven hundred fifty-three".