21735336223553 has 2 divisors, whose sum is σ = 21735336223554. Its totient is φ = 21735336223552.

The previous prime is 21735336223459. The next prime is 21735336223589. The reversal of 21735336223553 is 35532263353712.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17563542228544 + 4171793995009 = 4190888^2 + 2042497^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21735336223553 is a prime.

It is not a weakly prime, because it can be changed into another prime (21735336213553) 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, 10867668111776 + 10867668111777.

It is an arithmetic number, because the mean of its divisors is an integer number (10867668111777).

Almost surely, 2^{21735336223553} is an apocalyptic number.

It is an amenable number.

21735336223553 is a deficient number, since it is larger than the sum of its proper divisors (1).

21735336223553 is an equidigital number, since it uses as much as digits as its factorization.

21735336223553 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10206000, while the sum is 50.

The spelling of 21735336223553 in words is "twenty-one trillion, seven hundred thirty-five billion, three hundred thirty-six million, two hundred twenty-three thousand, five hundred fifty-three".