Search a number
-
+
54586313 is a prime number
BaseRepresentation
bin1101000000111…
…0101111001001
310210201021100022
43100032233021
5102433230223
65225550225
71231655525
oct320165711
9123637308
1054586313
11288a3561
1216345375
13b402ac2
14736cd85
154bd3ac8
hex340ebc9

54586313 has 2 divisors, whose sum is σ = 54586314. Its totient is φ = 54586312.

The previous prime is 54586289. The next prime is 54586321. The reversal of 54586313 is 31368545.

54586313 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., 53114944 + 1471369 = 7288^2 + 1213^2 .

It is a cyclic number.

It is not a de Polignac number, because 54586313 - 212 = 54582217 is a prime.

It is not a weakly prime, because it can be changed into another prime (54586013) 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, 27293156 + 27293157.

It is an arithmetic number, because the mean of its divisors is an integer number (27293157).

Almost surely, 254586313 is an apocalyptic number.

It is an amenable number.

54586313 is a deficient number, since it is larger than the sum of its proper divisors (1).

54586313 is an equidigital number, since it uses as much as digits as its factorization.

54586313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 43200, while the sum is 35.

The square root of 54586313 is about 7388.2550713954. The cubic root of 54586313 is about 379.3393715563.

The spelling of 54586313 in words is "fifty-four million, five hundred eighty-six thousand, three hundred thirteen".