8261008394809 has 9 divisors (see below), whose sum is σ = 8490422528301. Its totient is φ = 8037634426560.

The previous prime is 8261008394803. The next prime is 8261008394819. The reversal of 8261008394809 is 9084938001628.

The square root of 8261008394809 is 2874197.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 288449555625 + 7972558839184 = 537075^2 + 2823572^2 .

It is not a de Polignac number, because 8261008394809 - 2³⁹ = 7711252580921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8261008394803) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 106306449 + ... + 106384129.

Almost surely, 2^{8261008394809} is an apocalyptic number.

8261008394809 is the 2874197-th square number.

8261008394809 is the 1437099-th centered octagonal number.

It is an amenable number.

8261008394809 is a deficient number, since it is larger than the sum of its proper divisors (229414133492).

8261008394809 is an frugal number, since it uses more digits than its factorization.

8261008394809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155436 (or 77718 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 58.

The spelling of 8261008394809 in words is "eight trillion, two hundred sixty-one billion, eight million, three hundred ninety-four thousand, eight hundred nine".