653322220081 has 2 divisors, whose sum is σ = 653322220082. Its totient is φ = 653322220080.

The previous prime is 653322219959. The next prime is 653322220141. The reversal of 653322220081 is 180022223356.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 624401816481 + 28920403600 = 790191^2 + 170060^2 .

It is a cyclic number.

It is not a de Polignac number, because 653322220081 - 2¹¹ = 653322218033 is a prime.

It is a super-2 number, since 2×653322220081² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (653322220381) 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, 326661110040 + 326661110041.

It is an arithmetic number, because the mean of its divisors is an integer number (326661110041).

Almost surely, 2^653322220081 is an apocalyptic number.

It is an amenable number.

653322220081 is a deficient number, since it is larger than the sum of its proper divisors (1).

653322220081 is an equidigital number, since it uses as much as digits as its factorization.

653322220081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 653322220081 in words is "six hundred fifty-three billion, three hundred twenty-two million, two hundred twenty thousand, eighty-one".