221530672333217 has 32 divisors (see below), whose sum is σ = 253579349671200. Its totient is φ = 191718957846528.

The previous prime is 221530672333213. The next prime is 221530672333219. The reversal of 221530672333217 is 712333276035122.

It can be written as a sum of positive squares in 16 ways, for example, as 166823288488081 + 54707383845136 = 12916009^2 + 7396444^2 .

It is a cyclic number.

It is not a de Polignac number, because 221530672333217 - 2² = 221530672333213 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221530672333213) 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 in 31 ways as a sum of consecutive naturals, for example, 434257823 + ... + 434767659.

It is an arithmetic number, because the mean of its divisors is an integer number (7924354677225).

Almost surely, 2^{221530672333217} is an apocalyptic number.

It is an amenable number.

221530672333217 is a deficient number, since it is larger than the sum of its proper divisors (32048677337983).

221530672333217 is a wasteful number, since it uses less digits than its factorization.

221530672333217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517445.

The product of its (nonzero) digits is 1905120, while the sum is 47.

The spelling of 221530672333217 in words is "two hundred twenty-one trillion, five hundred thirty billion, six hundred seventy-two million, three hundred thirty-three thousand, two hundred seventeen".