11133415225 has 27 divisors (see below), whose sum is σ = 14136902317. Its totient is φ = 8697812480.

The previous prime is 11133415193. The next prime is 11133415229. The reversal of 11133415225 is 52251433111.

The square root of 11133415225 is 105515.

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

It can be written as a sum of positive squares in 4 ways, for example, as 9916201 + 11123499024 = 3149^2 + 105468^2 .

It is not a de Polignac number, because 11133415225 - 2⁵ = 11133415193 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11133415193 and 11133415202.

It is not an unprimeable number, because it can be changed into a prime (11133415229) 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, 24795801 + ... + 24796249.

Almost surely, 2^11133415225 is an apocalyptic number.

11133415225 is the 105515-th square number.

11133415225 is the 52758-th centered octagonal number.

It is an amenable number.

11133415225 is a deficient number, since it is larger than the sum of its proper divisors (3003487092).

11133415225 is an frugal number, since it uses more digits than its factorization.

11133415225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 501 counting only the distinct ones).

The product of its digits is 3600, while the sum is 28.

Multiplying 11133415225 by its product of digits (3600), we get a square (40080294810000 = 6330900²).

Adding to 11133415225 its reverse (52251433111), we get a palindrome (63384848336).

The spelling of 11133415225 in words is "eleven billion, one hundred thirty-three million, four hundred fifteen thousand, two hundred twenty-five".