21268314456953 has 2 divisors, whose sum is σ = 21268314456954. Its totient is φ = 21268314456952.

The previous prime is 21268314456943. The next prime is 21268314456989. The reversal of 21268314456953 is 35965441386212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20628383255104 + 639931201849 = 4541848^2 + 799957^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21268314456953 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21268314456892 and 21268314456901.

It is not a weakly prime, because it can be changed into another prime (21268314456943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10634157228476 + 10634157228477.

It is an arithmetic number, because the mean of its divisors is an integer number (10634157228477).

Almost surely, 2^{21268314456953} is an apocalyptic number.

It is an amenable number.

21268314456953 is a deficient number, since it is larger than the sum of its proper divisors (1).

21268314456953 is an equidigital number, since it uses as much as digits as its factorization.

21268314456953 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 37324800, while the sum is 59.

The spelling of 21268314456953 in words is "twenty-one trillion, two hundred sixty-eight billion, three hundred fourteen million, four hundred fifty-six thousand, nine hundred fifty-three".