8072513 has 2 divisors, whose sum is σ = 8072514. Its totient is φ = 8072512.

The previous prime is 8072507. The next prime is 8072521. The reversal of 8072513 is 3152708.

8072513 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5326864 + 2745649 = 2308^2 + 1657^2 .

It is a cyclic number.

It is not a de Polignac number, because 8072513 - 2⁸ = 8072257 is a prime.

It is a super-2 number, since 2×8072513² = 130330932270338, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (8072503) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4036256 + 4036257.

It is an arithmetic number, because the mean of its divisors is an integer number (4036257).

Almost surely, 2^8072513 is an apocalyptic number.

It is an amenable number.

8072513 is a deficient number, since it is larger than the sum of its proper divisors (1).

8072513 is an equidigital number, since it uses as much as digits as its factorization.

8072513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 8072513 is about 2841.2168167882. The cubic root of 8072513 is about 200.6024583972.

The spelling of 8072513 in words is "eight million, seventy-two thousand, five hundred thirteen".