8305125013 has 2 divisors, whose sum is σ = 8305125014. Its totient is φ = 8305125012.

The previous prime is 8305125011. The next prime is 8305125041. The reversal of 8305125013 is 3105215038.

It is an a-pointer prime, because the next prime (8305125041) can be obtained adding 8305125013 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5112536004 + 3192589009 = 71502^2 + 56503^2 .

It is a cyclic number.

It is not a de Polignac number, because 8305125013 - 2¹ = 8305125011 is a prime.

Together with 8305125011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8305125011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4152562506 + 4152562507.

It is an arithmetic number, because the mean of its divisors is an integer number (4152562507).

Almost surely, 2^8305125013 is an apocalyptic number.

It is an amenable number.

8305125013 is a deficient number, since it is larger than the sum of its proper divisors (1).

8305125013 is an equidigital number, since it uses as much as digits as its factorization.

8305125013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 8305125013 is about 91132.4586138221. The cubic root of 8305125013 is about 2025.1104964752.

The spelling of 8305125013 in words is "eight billion, three hundred five million, one hundred twenty-five thousand, thirteen".