223253400052321 has 8 divisors (see below), whose sum is σ = 224245640220264. Its totient is φ = 222261451090560.

The previous prime is 223253400052307. The next prime is 223253400052381. The reversal of 223253400052321 is 123250004352322.

It can be written as a sum of positive squares in 4 ways, for example, as 47957494768225 + 175295905284096 = 6925135^2 + 13239936^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 223253400052321 - 2³³ = 223244810117729 is a prime.

It is a super-3 number, since 3×223253400052321³ (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (223253400052381) 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 in 7 ways as a sum of consecutive naturals, for example, 71264766 + ... + 74331511.

It is an arithmetic number, because the mean of its divisors is an integer number (28030705027533).

Almost surely, 2^{223253400052321} is an apocalyptic number.

It is an amenable number.

223253400052321 is a deficient number, since it is larger than the sum of its proper divisors (992240167943).

223253400052321 is a wasteful number, since it uses less digits than its factorization.

223253400052321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145603091.

The product of its (nonzero) digits is 86400, while the sum is 34.

The spelling of 223253400052321 in words is "two hundred twenty-three trillion, two hundred fifty-three billion, four hundred million, fifty-two thousand, three hundred twenty-one".