10133442225 has 45 divisors (see below), whose sum is σ = 18779032657. Its totient is φ = 5402086560.

The previous prime is 10133442203. The next prime is 10133442227. The reversal of 10133442225 is 52224433101.

The square root of 10133442225 is 100665.

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

10133442225 is a `hidden beast` number, since 101 + 334 + 4 + 2 + 225 = 666.

10133442225 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 303909489 + 9829532736 = 17433^2 + 99144^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 10133442225 - 2⁹ = 10133441713 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10133442227) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4528807 + ... + 4531043.

Almost surely, 2^10133442225 is an apocalyptic number.

10133442225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10133442225 is the 100665-th square number.

10133442225 is the 50333-rd centered octagonal number.

It is an amenable number.

10133442225 is a deficient number, since it is larger than the sum of its proper divisors (8645590432).

10133442225 is an frugal number, since it uses more digits than its factorization.

10133442225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4496 (or 2245 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 10133442225 its reverse (52224433101), we get a palindrome (62357875326).

The spelling of 10133442225 in words is "ten billion, one hundred thirty-three million, four hundred forty-two thousand, two hundred twenty-five".