8006513 has 2 divisors, whose sum is σ = 8006514. Its totient is φ = 8006512.

The previous prime is 8006483. The next prime is 8006549. The reversal of 8006513 is 3156008.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4293184 + 3713329 = 2072^2 + 1927^2 .

It is a cyclic number.

It is not a de Polignac number, because 8006513 - 2¹⁸ = 7744369 is a prime.

It is not a weakly prime, because it can be changed into another prime (8006563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4003256 + 4003257.

It is an arithmetic number, because the mean of its divisors is an integer number (4003257).

Almost surely, 2^8006513 is an apocalyptic number.

It is an amenable number.

8006513 is a deficient number, since it is larger than the sum of its proper divisors (1).

8006513 is an equidigital number, since it uses as much as digits as its factorization.

8006513 is an odious number, because the sum of its binary digits is odd.

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

The square root of 8006513 is about 2829.5782371230. The cubic root of 8006513 is about 200.0542602778.

The spelling of 8006513 in words is "eight million, six thousand, five hundred thirteen".