Search a number
-
+
516003361 is a prime number
BaseRepresentation
bin11110110000011…
…001011000100001
31022221221200112121
4132300121120201
52024044101421
6123111424241
715533645656
oct3660313041
91287850477
10516003361
112452a7a65
12124985081
1382b99343
144c75dc2d
1530479d41
hex1ec19621

516003361 has 2 divisors, whose sum is σ = 516003362. Its totient is φ = 516003360.

The previous prime is 516003359. The next prime is 516003373. The reversal of 516003361 is 163300615.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 315950625 + 200052736 = 17775^2 + 14144^2 .

It is a cyclic number.

It is not a de Polignac number, because 516003361 - 21 = 516003359 is a prime.

Together with 516003359, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (516003161) 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, 258001680 + 258001681.

It is an arithmetic number, because the mean of its divisors is an integer number (258001681).

Almost surely, 2516003361 is an apocalyptic number.

It is an amenable number.

516003361 is a deficient number, since it is larger than the sum of its proper divisors (1).

516003361 is an equidigital number, since it uses as much as digits as its factorization.

516003361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 516003361 is about 22715.7073629680. The cubic root of 516003361 is about 802.0796728704.

Adding to 516003361 its reverse (163300615), we get a palindrome (679303976).

The spelling of 516003361 in words is "five hundred sixteen million, three thousand, three hundred sixty-one".