8563001 has 2 divisors, whose sum is σ = 8563002. Its totient is φ = 8563000.

The previous prime is 8562991. The next prime is 8563003. The reversal of 8563001 is 1003658.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8549776 + 13225 = 2924^2 + 115^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-8563001 is a prime.

It is a super-2 number, since 2×8563001² = 146649972252002, which contains 22 as substring.

Together with 8563003, it forms a pair of twin primes.

It is a Chen prime.

It is an Ulam number.

It is equal to p₅₇₅₁₀₅ and since 8563001 and 575105 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (8563003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4281500 + 4281501.

It is an arithmetic number, because the mean of its divisors is an integer number (4281501).

Almost surely, 2^8563001 is an apocalyptic number.

It is an amenable number.

8563001 is a deficient number, since it is larger than the sum of its proper divisors (1).

8563001 is an equidigital number, since it uses as much as digits as its factorization.

8563001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 8563001 is about 2926.2605830650. The cubic root of 8563001 is about 204.5857269361.

Adding to 8563001 its reverse (1003658), we get a palindrome (9566659).

The spelling of 8563001 in words is "eight million, five hundred sixty-three thousand, one".