221524243672129 has 2 divisors, whose sum is σ = 221524243672130. Its totient is φ = 221524243672128.

The previous prime is 221524243672111. The next prime is 221524243672157. The reversal of 221524243672129 is 921276342425122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 194469941781504 + 27054301890625 = 13945248^2 + 5201375^2 .

It is a cyclic number.

It is not a de Polignac number, because 221524243672129 - 2¹⁷ = 221524243541057 is a prime.

It is not a weakly prime, because it can be changed into another prime (221524243772129) 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, 110762121836064 + 110762121836065.

It is an arithmetic number, because the mean of its divisors is an integer number (110762121836065).

Almost surely, 2^{221524243672129} is an apocalyptic number.

It is an amenable number.

221524243672129 is a deficient number, since it is larger than the sum of its proper divisors (1).

221524243672129 is an equidigital number, since it uses as much as digits as its factorization.

221524243672129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5806080, while the sum is 52.

The spelling of 221524243672129 in words is "two hundred twenty-one trillion, five hundred twenty-four billion, two hundred forty-three million, six hundred seventy-two thousand, one hundred twenty-nine".