21329996756753 has 2 divisors, whose sum is σ = 21329996756754. Its totient is φ = 21329996756752.

The previous prime is 21329996756737. The next prime is 21329996756771. The reversal of 21329996756753 is 35765769992312.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18324152771584 + 3005843985169 = 4280672^2 + 1733737^2 .

It is a cyclic number.

It is not a de Polignac number, because 21329996756753 - 2⁴ = 21329996756737 is a prime.

It is a super-3 number, since 3×21329996756753³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (21329996756953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10664998378376 + 10664998378377.

It is an arithmetic number, because the mean of its divisors is an integer number (10664998378377).

Almost surely, 2^{21329996756753} is an apocalyptic number.

It is an amenable number.

21329996756753 is a deficient number, since it is larger than the sum of its proper divisors (1).

21329996756753 is an equidigital number, since it uses as much as digits as its factorization.

21329996756753 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1157360400, while the sum is 74.

The spelling of 21329996756753 in words is "twenty-one trillion, three hundred twenty-nine billion, nine hundred ninety-six million, seven hundred fifty-six thousand, seven hundred fifty-three".