133528122225 has 81 divisors (see below), whose sum is σ = 254237128483. Its totient is φ = 66979107840.

The previous prime is 133528122193. The next prime is 133528122227. The reversal of 133528122225 is 522221825331.

The square root of 133528122225 is 365415.

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

133528122225 is a `hidden beast` number, since 1 + 3 + 3 + 528 + 122 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 9660727521 + 123867394704 = 98289^2 + 351948^2 .

It is not a de Polignac number, because 133528122225 - 2⁵ = 133528122193 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 133528122225.

It is not an unprimeable number, because it can be changed into a prime (133528122227) 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, 93180109 + ... + 93181541.

Almost surely, 2^133528122225 is an apocalyptic number.

133528122225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

133528122225 is the 365415-th square number.

133528122225 is the 182708-th centered octagonal number.

It is an amenable number.

133528122225 is a deficient number, since it is larger than the sum of its proper divisors (120709006258).

133528122225 is an equidigital number, since it uses as much as digits as its factorization.

133528122225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2916 (or 1458 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

Multiplying 133528122225 by its sum of digits (36), we get a square (4807012400100 = 2192490²).

Adding to 133528122225 its reverse (522221825331), we get a palindrome (655749947556).

The spelling of 133528122225 in words is "one hundred thirty-three billion, five hundred twenty-eight million, one hundred twenty-two thousand, two hundred twenty-five".