21216601261753 has 2 divisors, whose sum is σ = 21216601261754. Its totient is φ = 21216601261752.

The previous prime is 21216601261607. The next prime is 21216601261771. The reversal of 21216601261753 is 35716210661212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17524873257984 + 3691728003769 = 4186272^2 + 1921387^2 .

It is a cyclic number.

It is not a de Polignac number, because 21216601261753 - 2⁴¹ = 19017578006201 is a prime.

It is not a weakly prime, because it can be changed into another prime (21216601261783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10608300630876 + 10608300630877.

It is an arithmetic number, because the mean of its divisors is an integer number (10608300630877).

Almost surely, 2^{21216601261753} is an apocalyptic number.

It is an amenable number.

21216601261753 is a deficient number, since it is larger than the sum of its proper divisors (1).

21216601261753 is an equidigital number, since it uses as much as digits as its factorization.

21216601261753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 21216601261753 in words is "twenty-one trillion, two hundred sixteen billion, six hundred one million, two hundred sixty-one thousand, seven hundred fifty-three".