225968080321 has 27 divisors (see below), whose sum is σ = 241606120419. Its totient is φ = 211311274608.

The previous prime is 225968080319. The next prime is 225968080339. The reversal of 225968080321 is 123080869522.

The square root of 225968080321 is 475361.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 221403186225 + 4564894096 = 470535^2 + 67564^2 .

It is not a de Polignac number, because 225968080321 - 2¹ = 225968080319 is a prime.

It is not an unprimeable number, because it can be changed into a prime (225968086321) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1147045995 + ... + 1147046191.

Almost surely, 2^225968080321 is an apocalyptic number.

225968080321 is the 475361-st square number.

225968080321 is the 237681-st centered octagonal number.

It is an amenable number.

225968080321 is a deficient number, since it is larger than the sum of its proper divisors (15638040098).

225968080321 is an frugal number, since it uses more digits than its factorization.

225968080321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The spelling of 225968080321 in words is "two hundred twenty-five billion, nine hundred sixty-eight million, eighty thousand, three hundred twenty-one".