Search a number
-
+
52018313 is a prime number
BaseRepresentation
bin1100011001101…
…1110010001001
310121212210201012
43012123302021
5101304041223
65054533305
71201101614
oct306336211
9117783635
1052018313
11273aa146
1215507235
13aa13c89
146ca117b
154877c78
hex319bc89

52018313 has 2 divisors, whose sum is σ = 52018314. Its totient is φ = 52018312.

The previous prime is 52018303. The next prime is 52018319. The reversal of 52018313 is 31381025.

52018313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51222649 + 795664 = 7157^2 + 892^2 .

It is a cyclic number.

It is not a de Polignac number, because 52018313 - 24 = 52018297 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is equal to p3114860 and since 52018313 and 3114860 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (52018319) 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, 26009156 + 26009157.

It is an arithmetic number, because the mean of its divisors is an integer number (26009157).

Almost surely, 252018313 is an apocalyptic number.

It is an amenable number.

52018313 is a deficient number, since it is larger than the sum of its proper divisors (1).

52018313 is an equidigital number, since it uses as much as digits as its factorization.

52018313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 52018313 is about 7212.3722172389. The cubic root of 52018313 is about 373.2949268704.

Adding to 52018313 its reverse (31381025), we get a palindrome (83399338).

The spelling of 52018313 in words is "fifty-two million, eighteen thousand, three hundred thirteen".