8385561601 has 2 divisors, whose sum is σ = 8385561602. Its totient is φ = 8385561600.

The previous prime is 8385561599. The next prime is 8385561607. The reversal of 8385561601 is 1061655838.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8235744001 + 149817600 = 90751^2 + 12240^2 .

It is a cyclic number.

It is not a de Polignac number, because 8385561601 - 2¹ = 8385561599 is a prime.

Together with 8385561599, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (8385561607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4192780800 + 4192780801.

It is an arithmetic number, because the mean of its divisors is an integer number (4192780801).

Almost surely, 2^8385561601 is an apocalyptic number.

It is an amenable number.

8385561601 is a deficient number, since it is larger than the sum of its proper divisors (1).

8385561601 is an equidigital number, since it uses as much as digits as its factorization.

8385561601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 172800, while the sum is 43.

The square root of 8385561601 is about 91572.7120980918. The cubic root of 8385561601 is about 2031.6273523334.

The spelling of 8385561601 in words is "eight billion, three hundred eighty-five million, five hundred sixty-one thousand, six hundred one".