8461313009 has 2 divisors, whose sum is σ = 8461313010. Its totient is φ = 8461313008.

The previous prime is 8461312999. The next prime is 8461313023. The reversal of 8461313009 is 9003131648.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7854922384 + 606390625 = 88628^2 + 24625^2 .

It is a cyclic number.

It is not a de Polignac number, because 8461313009 - 2³² = 4166345713 is a prime.

It is a super-3 number, since 3×8461313009³ (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8461313009.

It is not a weakly prime, because it can be changed into another prime (8461313099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4230656504 + 4230656505.

It is an arithmetic number, because the mean of its divisors is an integer number (4230656505).

Almost surely, 2^8461313009 is an apocalyptic number.

It is an amenable number.

8461313009 is a deficient number, since it is larger than the sum of its proper divisors (1).

8461313009 is an equidigital number, since it uses as much as digits as its factorization.

8461313009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 8461313009 is about 91985.3956288714. The cubic root of 8461313009 is about 2037.7266268751.

The spelling of 8461313009 in words is "eight billion, four hundred sixty-one million, three hundred thirteen thousand, nine".