225111342681 has 27 divisors (see below), whose sum is σ = 329040537501. Its totient is φ = 148304496384.

The previous prime is 225111342671. The next prime is 225111342683. The reversal of 225111342681 is 186243111522.

The square root of 225111342681 is 474459.

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

225111342681 is a `hidden beast` number, since 2 + 2 + 511 + 134 + 2 + 6 + 8 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22956795225 + 202154547456 = 151515^2 + 449616^2 .

It is not a de Polignac number, because 225111342681 - 2³⁵ = 190751604313 is a prime.

It is a super-2 number, since 2×225111342681² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (225111342683) 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, 126679665 + ... + 126681441.

Almost surely, 2^225111342681 is an apocalyptic number.

225111342681 is the 474459-th square number.

225111342681 is the 237230-th centered octagonal number.

It is an amenable number.

225111342681 is a deficient number, since it is larger than the sum of its proper divisors (103929194820).

225111342681 is an frugal number, since it uses more digits than its factorization.

225111342681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3738 (or 1869 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

Multiplying 225111342681 by its sum of digits (36), we get a square (8104008336516 = 2846754²).

The spelling of 225111342681 in words is "two hundred twenty-five billion, one hundred eleven million, three hundred forty-two thousand, six hundred eighty-one".