Search a number
-
+
5005001513 is a prime number
BaseRepresentation
bin1001010100101001…
…00100001100101001
3110220210210102100102
410222110210030221
540222240022023
62144350315145
7235012545101
oct45224441451
913823712312
105005001513
112139213796
12b781b8ab5
13619bc0275
14356a04201
151e45e3628
hex12a524329

5005001513 has 2 divisors, whose sum is σ = 5005001514. Its totient is φ = 5005001512.

The previous prime is 5005001483. The next prime is 5005001557. The reversal of 5005001513 is 3151005005.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2889277504 + 2115724009 = 53752^2 + 45997^2 .

It is a cyclic number.

It is not a de Polignac number, because 5005001513 - 210 = 5005000489 is a prime.

It is not a weakly prime, because it can be changed into another prime (5005001213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2502500756 + 2502500757.

It is an arithmetic number, because the mean of its divisors is an integer number (2502500757).

Almost surely, 25005001513 is an apocalyptic number.

It is an amenable number.

5005001513 is a deficient number, since it is larger than the sum of its proper divisors (1).

5005001513 is an equidigital number, since it uses as much as digits as its factorization.

5005001513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 375, while the sum is 20.

The square root of 5005001513 is about 70746.0353164755. The cubic root of 5005001513 is about 1710.5459211317.

Adding to 5005001513 its reverse (3151005005), we get a palindrome (8156006518).

The spelling of 5005001513 in words is "five billion, five million, one thousand, five hundred thirteen".