8002513 has 2 divisors, whose sum is σ = 8002514. Its totient is φ = 8002512.

The previous prime is 8002507. The next prime is 8002517. The reversal of 8002513 is 3152008.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7884864 + 117649 = 2808^2 + 343^2 .

It is a cyclic number.

It is not a de Polignac number, because 8002513 - 2¹³ = 7994321 is a prime.

It is not a weakly prime, because it can be changed into another prime (8002517) 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, 4001256 + 4001257.

It is an arithmetic number, because the mean of its divisors is an integer number (4001257).

Almost surely, 2^8002513 is an apocalyptic number.

It is an amenable number.

8002513 is a deficient number, since it is larger than the sum of its proper divisors (1).

8002513 is an equidigital number, since it uses as much as digits as its factorization.

8002513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 8002513 is about 2828.8713297002. The cubic root of 8002513 is about 200.0209394743.

It can be divided in two parts, 8002 and 513, that added together give a triangular number (8515 = T₁₃₀).

The spelling of 8002513 in words is "eight million, two thousand, five hundred thirteen".