8209827125 has 8 divisors (see below), whose sum is σ = 10245864408. Its totient is φ = 6567861600.

The previous prime is 8209827107. The next prime is 8209827149. The reversal of 8209827125 is 5217289028.

8209827125 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 47969476 + 8161857649 = 6926^2 + 90343^2 .

It is not a de Polignac number, because 8209827125 - 2²⁰ = 8208778549 is a prime.

It is a super-2 number, since 2×8209827125² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32839184 + ... + 32839433.

It is an arithmetic number, because the mean of its divisors is an integer number (1280733051).

Almost surely, 2^8209827125 is an apocalyptic number.

It is an amenable number.

8209827125 is a deficient number, since it is larger than the sum of its proper divisors (2036037283).

8209827125 is an equidigital number, since it uses as much as digits as its factorization.

8209827125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65678632 (or 65678622 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 44.

The square root of 8209827125 is about 90608.0963545753. The cubic root of 8209827125 is about 2017.3349101021.

The spelling of 8209827125 in words is "eight billion, two hundred nine million, eight hundred twenty-seven thousand, one hundred twenty-five".