21965428753 has 2 divisors, whose sum is σ = 21965428754. Its totient is φ = 21965428752.

The previous prime is 21965428747. The next prime is 21965428759. The reversal of 21965428753 is 35782456912.

It is a balanced prime because it is at equal distance from previous prime (21965428747) and next prime (21965428759).

It can be written as a sum of positive squares in only one way, i.e., 17012506624 + 4952922129 = 130432^2 + 70377^2 .

It is a cyclic number.

It is not a de Polignac number, because 21965428753 - 2²¹ = 21963331601 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21965428753.

It is not a weakly prime, because it can be changed into another prime (21965428759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10982714376 + 10982714377.

It is an arithmetic number, because the mean of its divisors is an integer number (10982714377).

Almost surely, 2^21965428753 is an apocalyptic number.

It is an amenable number.

21965428753 is a deficient number, since it is larger than the sum of its proper divisors (1).

21965428753 is an equidigital number, since it uses as much as digits as its factorization.

21965428753 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3628800, while the sum is 52.

The spelling of 21965428753 in words is "twenty-one billion, nine hundred sixty-five million, four hundred twenty-eight thousand, seven hundred fifty-three".