8032633313 has 2 divisors, whose sum is σ = 8032633314. Its totient is φ = 8032633312.

The previous prime is 8032633303. The next prime is 8032633369. The reversal of 8032633313 is 3133362308.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6814832704 + 1217800609 = 82552^2 + 34897^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-8032633313 is a prime.

It is a super-4 number, since 4×8032633313⁴ (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 8032633313.

It is not a weakly prime, because it can be changed into another prime (8032633303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4016316656 + 4016316657.

It is an arithmetic number, because the mean of its divisors is an integer number (4016316657).

Almost surely, 2^8032633313 is an apocalyptic number.

It is an amenable number.

8032633313 is a deficient number, since it is larger than the sum of its proper divisors (1).

8032633313 is an equidigital number, since it uses as much as digits as its factorization.

8032633313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23328, while the sum is 32.

The square root of 8032633313 is about 89624.9592078010. The cubic root of 8032633313 is about 2002.7157534225.

The spelling of 8032633313 in words is "eight billion, thirty-two million, six hundred thirty-three thousand, three hundred thirteen".