12807821249953 has 2 divisors, whose sum is σ = 12807821249954. Its totient is φ = 12807821249952.

The previous prime is 12807821249939. The next prime is 12807821250023. The reversal of 12807821249953 is 35994212870821.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12673372161024 + 134449088929 = 3559968^2 + 366673^2 .

It is a cyclic number.

It is not a de Polignac number, because 12807821249953 - 2²¹ = 12807819152801 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12807821249891 and 12807821249900.

It is not a weakly prime, because it can be changed into another prime (12807821229953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6403910624976 + 6403910624977.

It is an arithmetic number, because the mean of its divisors is an integer number (6403910624977).

Almost surely, 2^{12807821249953} is an apocalyptic number.

It is an amenable number.

12807821249953 is a deficient number, since it is larger than the sum of its proper divisors (1).

12807821249953 is an equidigital number, since it uses as much as digits as its factorization.

12807821249953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17418240, while the sum is 61.

The spelling of 12807821249953 in words is "twelve trillion, eight hundred seven billion, eight hundred twenty-one million, two hundred forty-nine thousand, nine hundred fifty-three".