8640053657 has 2 divisors, whose sum is σ = 8640053658. Its totient is φ = 8640053656.

The previous prime is 8640053641. The next prime is 8640053659. The reversal of 8640053657 is 7563500468.

8640053657 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8638587136 + 1466521 = 92944^2 + 1211^2 .

It is a cyclic number.

It is not a de Polignac number, because 8640053657 - 2⁴ = 8640053641 is a prime.

Together with 8640053659, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (8640053659) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4320026828 + 4320026829.

It is an arithmetic number, because the mean of its divisors is an integer number (4320026829).

Almost surely, 2^8640053657 is an apocalyptic number.

It is an amenable number.

8640053657 is a deficient number, since it is larger than the sum of its proper divisors (1).

8640053657 is an equidigital number, since it uses as much as digits as its factorization.

8640053657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 604800, while the sum is 44.

The square root of 8640053657 is about 92951.8889372346. Note that the first 3 decimals coincide. The cubic root of 8640053657 is about 2051.9753837893.

The spelling of 8640053657 in words is "eight billion, six hundred forty million, fifty-three thousand, six hundred fifty-seven".