11307132225 has 135 divisors (see below), whose sum is σ = 22410450777. Its totient is φ = 5634904320.

The previous prime is 11307132223. The next prime is 11307132241. The reversal of 11307132225 is 52223170311.

The square root of 11307132225 is 106335.

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

11307132225 is a `hidden beast` number, since 1 + 1 + 307 + 132 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 264485169 + 11042647056 = 16263^2 + 105084^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 11307132225 - 2¹ = 11307132223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11307132223) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 81346206 + ... + 81346344.

Almost surely, 2^11307132225 is an apocalyptic number.

11307132225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11307132225 is the 106335-th square number.

11307132225 is the 53168-th centered octagonal number.

It is an amenable number.

11307132225 is a deficient number, since it is larger than the sum of its proper divisors (11103318552).

11307132225 is an equidigital number, since it uses as much as digits as its factorization.

11307132225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 11307132225 in words is "eleven billion, three hundred seven million, one hundred thirty-two thousand, two hundred twenty-five".