8287403076225 has 1215 divisors, whose sum is σ = 20974522503627. Its totient is φ = 3223502231040.

The previous prime is 8287403076179. The next prime is 8287403076313. The reversal of 8287403076225 is 5226703047828.

The square root of 8287403076225 is 2878785.

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

8287403076225 is a `hidden beast` number, since 8 + 2 + 8 + 7 + 4 + 0 + 3 + 0 + 7 + 622 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 4782614712561 + 3504788363664 = 2186919^2 + 1872108^2 .

It is not a de Polignac number, because 8287403076225 - 2⁷ = 8287403076097 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 1214 ways as a sum of consecutive naturals, for example, 223983866907 + ... + 223983866943.

Almost surely, 2^{8287403076225} is an apocalyptic number.

8287403076225 is the 2878785-th square number.

8287403076225 is the 1439393-rd centered octagonal number.

It is an amenable number.

8287403076225 is an abundant number, since it is smaller than the sum of its proper divisors (12687119427402).

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

8287403076225 is a wasteful number, since it uses less digits than its factorization.

8287403076225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 8287403076225 in words is "eight trillion, two hundred eighty-seven billion, four hundred three million, seventy-six thousand, two hundred twenty-five".