Search a number
-
+
5301312017 is a prime number
BaseRepresentation
bin1001110111111101…
…11001101000010001
3111200110100112221112
410323332321220101
541324113441032
62234013303105
7245241260111
oct47376715021
914613315845
105301312017
1122804a8201
12103b494a95
136663c8921
143840d7041
152106241b2
hex13bfb9a11

5301312017 has 2 divisors, whose sum is σ = 5301312018. Its totient is φ = 5301312016.

The previous prime is 5301311971. The next prime is 5301312043. The reversal of 5301312017 is 7102131035.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4560165841 + 741146176 = 67529^2 + 27224^2 .

It is a cyclic number.

It is not a de Polignac number, because 5301312017 - 28 = 5301311761 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5301311983 and 5301312001.

It is not a weakly prime, because it can be changed into another prime (5301312097) 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, 2650656008 + 2650656009.

It is an arithmetic number, because the mean of its divisors is an integer number (2650656009).

Almost surely, 25301312017 is an apocalyptic number.

It is an amenable number.

5301312017 is a deficient number, since it is larger than the sum of its proper divisors (1).

5301312017 is an equidigital number, since it uses as much as digits as its factorization.

5301312017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 5301312017 is about 72810.1093049585. The cubic root of 5301312017 is about 1743.6572585286.

The spelling of 5301312017 in words is "five billion, three hundred one million, three hundred twelve thousand, seventeen".