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8505421313 is a prime number
BaseRepresentation
bin1111110101111011…
…00110111000000001
3210221202110011121012
413322331212320001
5114404341440223
63523552410305
7420525613454
oct77275467001
923852404535
108505421313
1136750a7a14
121794546995
13a5717599c
145a987149b
1534ba84c78
hex1faf66e01

8505421313 has 2 divisors, whose sum is σ = 8505421314. Its totient is φ = 8505421312.

The previous prime is 8505421273. The next prime is 8505421363. The reversal of 8505421313 is 3131245058.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5839557889 + 2665863424 = 76417^2 + 51632^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-8505421313 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 8505421313.

It is not a weakly prime, because it can be changed into another prime (8505421363) 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, 4252710656 + 4252710657.

It is an arithmetic number, because the mean of its divisors is an integer number (4252710657).

Almost surely, 28505421313 is an apocalyptic number.

It is an amenable number.

8505421313 is a deficient number, since it is larger than the sum of its proper divisors (1).

8505421313 is an equidigital number, since it uses as much as digits as its factorization.

8505421313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 8505421313 is about 92224.8410841678. The cubic root of 8505421313 is about 2041.2613397258.

The spelling of 8505421313 in words is "eight billion, five hundred five million, four hundred twenty-one thousand, three hundred thirteen".