8256248129 has 8 divisors (see below), whose sum is σ = 8273520360. Its totient is φ = 8238994816.

The previous prime is 8256248111. The next prime is 8256248141. The reversal of 8256248129 is 9218426528.

It can be written as a sum of positive squares in 4 ways, for example, as 5337763600 + 2918484529 = 73060^2 + 54023^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 8256248129 - 2¹⁶ = 8256182593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8256248179) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1138487 + ... + 1145715.

It is an arithmetic number, because the mean of its divisors is an integer number (1034190045).

Almost surely, 2^8256248129 is an apocalyptic number.

It is an amenable number.

8256248129 is a deficient number, since it is larger than the sum of its proper divisors (17272231).

8256248129 is a wasteful number, since it uses less digits than its factorization.

8256248129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9459.

The product of its digits is 552960, while the sum is 47.

The square root of 8256248129 is about 90863.8989313137. The cubic root of 8256248129 is about 2021.1299864171.

The spelling of 8256248129 in words is "eight billion, two hundred fifty-six million, two hundred forty-eight thousand, one hundred twenty-nine".