225814089601 has 9 divisors (see below), whose sum is σ = 233348616003. Its totient is φ = 218515508160.

The previous prime is 225814089587. The next prime is 225814089623. The reversal of 225814089601 is 106980418522.

The square root of 225814089601 is 475199.

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., 20967329601 + 204846760000 = 144801^2 + 452600^2 .

It is not a de Polignac number, because 225814089601 - 2²³ = 225805700993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (225814089661) 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 8 ways as a sum of consecutive naturals, for example, 14723505 + ... + 14738833.

Almost surely, 2^225814089601 is an apocalyptic number.

225814089601 is the 475199-th square number.

225814089601 is the 237600-th centered octagonal number.

It is an amenable number.

225814089601 is a deficient number, since it is larger than the sum of its proper divisors (7534526402).

225814089601 is an frugal number, since it uses more digits than its factorization.

225814089601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30720 (or 15360 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 46.

It can be divided in two parts, 22581408 and 9601, that added together give a square (22591009 = 4753²).

The spelling of 225814089601 in words is "two hundred twenty-five billion, eight hundred fourteen million, eighty-nine thousand, six hundred one".