722311312321 has 27 divisors (see below), whose sum is σ = 782092293699. Its totient is φ = 666992887200.

The previous prime is 722311312319. The next prime is 722311312337. The reversal of 722311312321 is 123213113227.

The square root of 722311312321 is 849889.

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

722311312321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 34805006721 + 687506305600 = 186561^2 + 829160^2 .

It is not a de Polignac number, because 722311312321 - 2¹ = 722311312319 is a prime.

It is a super-3 number, since 3×722311312321³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 722311312321.

It is not an unprimeable number, because it can be changed into a prime (722311312361) 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, 662062986 + ... + 662064076.

Almost surely, 2^722311312321 is an apocalyptic number.

722311312321 is the 849889-th square number.

722311312321 is the 424945-th centered octagonal number.

It is an amenable number.

722311312321 is a deficient number, since it is larger than the sum of its proper divisors (59780981378).

722311312321 is an frugal number, since it uses more digits than its factorization.

722311312321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2302 (or 1151 counting only the distinct ones).

The product of its digits is 3024, while the sum is 28.

Adding to 722311312321 its reverse (123213113227), we get a palindrome (845524425548).

The spelling of 722311312321 in words is "seven hundred twenty-two billion, three hundred eleven million, three hundred twelve thousand, three hundred twenty-one".