Search a number
-
+
264133313 is a prime number
BaseRepresentation
bin11111011111001…
…01101011000001
3200102000100210022
433233211223001
51020104231223
642113143225
76355044653
oct1757455301
9612010708
10264133313
111261072a4
127455ab15
1342950702
14271186d3
15182c6ac8
hexfbe5ac1

264133313 has 2 divisors, whose sum is σ = 264133314. Its totient is φ = 264133312.

The previous prime is 264133273. The next prime is 264133333. The reversal of 264133313 is 313331462.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 165071104 + 99062209 = 12848^2 + 9953^2 .

It is a cyclic number.

It is not a de Polignac number, because 264133313 - 26 = 264133249 is a prime.

It is a Chen prime.

It is equal to p14409035 and since 264133313 and 14409035 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 (264133333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132066656 + 132066657.

It is an arithmetic number, because the mean of its divisors is an integer number (132066657).

Almost surely, 2264133313 is an apocalyptic number.

It is an amenable number.

264133313 is a deficient number, since it is larger than the sum of its proper divisors (1).

264133313 is an equidigital number, since it uses as much as digits as its factorization.

264133313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3888, while the sum is 26.

The square root of 264133313 is about 16252.1787154830. The cubic root of 264133313 is about 641.6148291476.

Adding to 264133313 its reverse (313331462), we get a palindrome (577464775).

The spelling of 264133313 in words is "two hundred sixty-four million, one hundred thirty-three thousand, three hundred thirteen".