11133199856025 has 243 divisors, whose sum is σ = 21992357345751. Its totient is φ = 5381341056000.

The previous prime is 11133199856011. The next prime is 11133199856063. The reversal of 11133199856025 is 52065899133111.

It is a happy number.

The square root of 11133199856025 is 3336645.

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

11133199856025 is a `hidden beast` number, since 1 + 1 + 13 + 3 + 19 + 9 + 8 + 5 + 602 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 8412441977241 + 2720757878784 = 2900421^2 + 1649472^2 .

It is not a de Polignac number, because 11133199856025 - 2²³ = 11133191467417 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 242 ways as a sum of consecutive naturals, for example, 46195849905 + ... + 46195850145.

Almost surely, 2^{11133199856025} is an apocalyptic number.

11133199856025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11133199856025 is the 3336645-th square number.

11133199856025 is the 1668323-rd centered octagonal number.

It is an amenable number.

11133199856025 is a deficient number, since it is larger than the sum of its proper divisors (10859157489726).

11133199856025 is an equidigital number, since it uses as much as digits as its factorization.

11133199856025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 54.

It can be divided in two parts, 1113319 and 9856025, that added together give a square (10969344 = 3312²).

The spelling of 11133199856025 in words is "eleven trillion, one hundred thirty-three billion, one hundred ninety-nine million, eight hundred fifty-six thousand, twenty-five".