Search a number
-
+
5823855100513 is a prime number
BaseRepresentation
bin101010010111111100011…
…0100001000001001100001
3202121202101110211112101001
41110233320310020021201
51230404223401204023
620215235254312001
71140521362400152
oct124577064101141
922552343745331
105823855100513
11194597941635a
127a0851358601
13333258305818
14161c39dc9929
15a1759e316ad
hex54bf8d08261

5823855100513 has 2 divisors, whose sum is σ = 5823855100514. Its totient is φ = 5823855100512.

The previous prime is 5823855100411. The next prime is 5823855100529. The reversal of 5823855100513 is 3150015583285.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5305061905984 + 518793194529 = 2303272^2 + 720273^2 .

It is a cyclic number.

It is not a de Polignac number, because 5823855100513 - 29 = 5823855100001 is a prime.

It is not a weakly prime, because it can be changed into another prime (5823855100213) 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, 2911927550256 + 2911927550257.

It is an arithmetic number, because the mean of its divisors is an integer number (2911927550257).

Almost surely, 25823855100513 is an apocalyptic number.

It is an amenable number.

5823855100513 is a deficient number, since it is larger than the sum of its proper divisors (1).

5823855100513 is an equidigital number, since it uses as much as digits as its factorization.

5823855100513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720000, while the sum is 46.

The spelling of 5823855100513 in words is "five trillion, eight hundred twenty-three billion, eight hundred fifty-five million, one hundred thousand, five hundred thirteen".