8209109025 has 120 divisors (see below), whose sum is σ = 16942066680. Its totient is φ = 3901685760.

The previous prime is 8209109023. The next prime is 8209109063. The reversal of 8209109025 is 5209019028.

It can be written as a sum of positive squares in 12 ways, for example, as 1495600929 + 6713508096 = 38673^2 + 81936^2 .

It is not a de Polignac number, because 8209109025 - 2¹ = 8209109023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8209109021) 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 119 ways as a sum of consecutive naturals, for example, 758049 + ... + 768801.

It is an arithmetic number, because the mean of its divisors is an integer number (141183889).

Almost surely, 2^8209109025 is an apocalyptic number.

It is an amenable number.

8209109025 is an abundant number, since it is smaller than the sum of its proper divisors (8732957655).

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

8209109025 is a wasteful number, since it uses less digits than its factorization.

8209109025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10817 (or 10803 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 8209109025 is about 90604.1335977559. The cubic root of 8209109025 is about 2017.2760907378.

The spelling of 8209109025 in words is "eight billion, two hundred nine million, one hundred nine thousand, twenty-five".