126225225 has 81 divisors (see below), whose sum is σ = 265475847. Its totient is φ = 57163680.

The previous prime is 126225223. The next prime is 126225233. The reversal of 126225225 is 522522621.

The square root of 126225225 is 11235.

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

126225225 is a `hidden beast` number, since 12 + 622 + 5 + 2 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 45441081 + 80784144 = 6741^2 + 8988^2 .

It is not a de Polignac number, because 126225225 - 2¹ = 126225223 is a prime.

It is a super-3 number, since 3×126225225³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (126225223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1179622 + ... + 1179728.

Almost surely, 2^126225225 is an apocalyptic number.

126225225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

126225225 is the 11235-th square number.

126225225 is the 5618-th centered octagonal number.

It is an amenable number.

126225225 is an abundant number, since it is smaller than the sum of its proper divisors (139250622).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

126225225 is a wasteful number, since it uses less digits than its factorization.

126225225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 122 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The cubic root of 126225225 is about 501.6283246942.

Adding to 126225225 its reverse (522522621), we get a palindrome (648747846).

The spelling of 126225225 in words is "one hundred twenty-six million, two hundred twenty-five thousand, two hundred twenty-five".