827505025 has 12 divisors (see below), whose sum is σ = 1032997500. Its totient is φ = 657558080.

The previous prime is 827505023. The next prime is 827505067. The reversal of 827505025 is 520505728.

It can be written as a sum of positive squares in 6 ways, for example, as 119093569 + 708411456 = 10913^2 + 26616^2 .

It is not a de Polignac number, because 827505025 - 2¹ = 827505023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (827505023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107350 + ... + 114799.

It is an arithmetic number, because the mean of its divisors is an integer number (86083125).

Almost surely, 2^827505025 is an apocalyptic number.

It is an amenable number.

827505025 is a deficient number, since it is larger than the sum of its proper divisors (205492475).

827505025 is a wasteful number, since it uses less digits than its factorization.

827505025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222308 (or 222303 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 34.

The square root of 827505025 is about 28766.3870689386. The cubic root of 827505025 is about 938.8370350680.

The spelling of 827505025 in words is "eight hundred twenty-seven million, five hundred five thousand, twenty-five".