8205551641 has 32 divisors (see below), whose sum is σ = 10028906240. Its totient is φ = 6557220864.

The previous prime is 8205551633. The next prime is 8205551647. The reversal of 8205551641 is 1461555028.

8205551641 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a 5-Lehmer number, since φ(8205551641) divides (8205551641-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 8205551641 - 2³ = 8205551633 is a prime.

It is the 90585-th Hogben number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8205551641.

It is not an unprimeable number, because it can be changed into a prime (8205551647) by changing a digit.

It is a nontrivial repunit in base 90584.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7116121 + ... + 7117273.

It is an arithmetic number, because the mean of its divisors is an integer number (313403320).

Almost surely, 2^8205551641 is an apocalyptic number.

It is an amenable number.

8205551641 is a deficient number, since it is larger than the sum of its proper divisors (1823354599).

8205551641 is a wasteful number, since it uses less digits than its factorization.

8205551641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1985.

The product of its (nonzero) digits is 48000, while the sum is 37.

The square root of 8205551641 is about 90584.5000041398. The cubic root of 8205551641 is about 2016.9846558406.

The spelling of 8205551641 in words is "eight billion, two hundred five million, five hundred fifty-one thousand, six hundred forty-one".