8305000413221 has 2 divisors, whose sum is σ = 8305000413222. Its totient is φ = 8305000413220.

The previous prime is 8305000413161. The next prime is 8305000413239. The reversal of 8305000413221 is 1223140005038.

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., 7534311316900 + 770689096321 = 2744870^2 + 877889^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-8305000413221 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8305000413121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4152500206610 + 4152500206611.

It is an arithmetic number, because the mean of its divisors is an integer number (4152500206611).

Almost surely, 2^{8305000413221} is an apocalyptic number.

It is an amenable number.

8305000413221 is a deficient number, since it is larger than the sum of its proper divisors (1).

8305000413221 is an equidigital number, since it uses as much as digits as its factorization.

8305000413221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 8305000413221 its reverse (1223140005038), we get a palindrome (9528140418259).

The spelling of 8305000413221 in words is "eight trillion, three hundred five billion, four hundred thirteen thousand, two hundred twenty-one".