221533075729601 has 2 divisors, whose sum is σ = 221533075729602. Its totient is φ = 221533075729600.

The previous prime is 221533075729597. The next prime is 221533075729621. The reversal of 221533075729601 is 106927570335122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 147055761489025 + 74477314240576 = 12126655^2 + 8630024^2 .

It is a cyclic number.

It is not a de Polignac number, because 221533075729601 - 2² = 221533075729597 is a prime.

It is not a weakly prime, because it can be changed into another prime (221533075729621) 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, 110766537864800 + 110766537864801.

It is an arithmetic number, because the mean of its divisors is an integer number (110766537864801).

Almost surely, 2^{221533075729601} is an apocalyptic number.

It is an amenable number.

221533075729601 is a deficient number, since it is larger than the sum of its proper divisors (1).

221533075729601 is an equidigital number, since it uses as much as digits as its factorization.

221533075729601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4762800, while the sum is 53.

The spelling of 221533075729601 in words is "two hundred twenty-one trillion, five hundred thirty-three billion, seventy-five million, seven hundred twenty-nine thousand, six hundred one".