Search a number
-
+
537065117 is a prime number
BaseRepresentation
bin100000000000101…
…111011010011101
31101102120201211122
4200000233122131
52044442040432
6125143100325
716210656341
oct4000573235
91342521748
10537065117
11256182a76
1212ba416a5
1387361b14
1451483621
153223a612
hex2002f69d

537065117 has 2 divisors, whose sum is σ = 537065118. Its totient is φ = 537065116.

The previous prime is 537065057. The next prime is 537065149. The reversal of 537065117 is 711560735.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 303770041 + 233295076 = 17429^2 + 15274^2 .

It is a cyclic number.

It is not a de Polignac number, because 537065117 - 28 = 537064861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (537065317) 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, 268532558 + 268532559.

It is an arithmetic number, because the mean of its divisors is an integer number (268532559).

Almost surely, 2537065117 is an apocalyptic number.

It is an amenable number.

537065117 is a deficient number, since it is larger than the sum of its proper divisors (1).

537065117 is an equidigital number, since it uses as much as digits as its factorization.

537065117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22050, while the sum is 35.

The square root of 537065117 is about 23174.6654129029. The cubic root of 537065117 is about 812.8473267544.

The spelling of 537065117 in words is "five hundred thirty-seven million, sixty-five thousand, one hundred seventeen".