8265537225 has 243 divisors, whose sum is σ = 17786881749. Its totient is φ = 3665692800.

The previous prime is 8265537193. The next prime is 8265537227. The reversal of 8265537225 is 5227355628.

The square root of 8265537225 is 90915.

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

8265537225 is a `hidden beast` number, since 8 + 2 + 6 + 553 + 72 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 113614281 + 8151922944 = 10659^2 + 90288^2 .

It is not a de Polignac number, because 8265537225 - 2⁵ = 8265537193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8265537227) by changing a digit.

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, 285018511 + ... + 285018539.

Almost surely, 2^8265537225 is an apocalyptic number.

8265537225 is the 90915-th square number.

8265537225 is the 45458-th centered octagonal number.

It is an amenable number.

8265537225 is an abundant number, since it is smaller than the sum of its proper divisors (9521344524).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8265537225 is a wasteful number, since it uses less digits than its factorization.

8265537225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 67 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The cubic root of 8265537225 is about 2021.8876927235.

It can be divided in two parts, 8265 and 537225, that added together give a triangular number (545490 = T₁₀₄₄).

The spelling of 8265537225 in words is "eight billion, two hundred sixty-five million, five hundred thirty-seven thousand, two hundred twenty-five".