8251260641 has 32 divisors (see below), whose sum is σ = 9752672160. Its totient is φ = 6907428864.

The previous prime is 8251260613. The next prime is 8251260673. The reversal of 8251260641 is 1460621528.

It can be written as a sum of positive squares in 16 ways, for example, as 756030016 + 7495230625 = 27496^2 + 86575^2 .

It is a cyclic number.

It is not a de Polignac number, because 8251260641 - 2¹⁰ = 8251259617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8251269641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4312301 + ... + 4314213.

It is an arithmetic number, because the mean of its divisors is an integer number (304771005).

Almost surely, 2^8251260641 is an apocalyptic number.

It is an amenable number.

8251260641 is a deficient number, since it is larger than the sum of its proper divisors (1501411519).

8251260641 is a wasteful number, since it uses less digits than its factorization.

8251260641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2645.

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 8251260641 is about 90836.4499581528. The cubic root of 8251260641 is about 2020.7229253291.

The spelling of 8251260641 in words is "eight billion, two hundred fifty-one million, two hundred sixty thousand, six hundred forty-one".