Search a number
-
+
563340113521649 is a prime number
BaseRepresentation
bin1000000000010110101101011…
…1010110101010101111110001
32201212121210022002211111111222
42000011223113112222233301
51042314231023030143044
65314042513032514425
7226441660112533562
oct20005532726525761
92655553262744458
10563340113521649
11153552222922432
125322310824ba15
131b24498b31c4a9
149d17b424aa169
15451db80d118ee
hex2005ad75aabf1

563340113521649 has 2 divisors, whose sum is σ = 563340113521650. Its totient is φ = 563340113521648.

The previous prime is 563340113521631. The next prime is 563340113521667. The reversal of 563340113521649 is 946125311043365.

563340113521649 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (563340113521631) and next prime (563340113521667).

It can be written as a sum of positive squares in only one way, i.e., 476693207223025 + 86646906298624 = 21833305^2 + 9308432^2 .

It is a cyclic number.

It is not a de Polignac number, because 563340113521649 - 212 = 563340113517553 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 563340113521649.

It is not a weakly prime, because it can be changed into another prime (563340113521049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 281670056760824 + 281670056760825.

It is an arithmetic number, because the mean of its divisors is an integer number (281670056760825).

Almost surely, 2563340113521649 is an apocalyptic number.

It is an amenable number.

563340113521649 is a deficient number, since it is larger than the sum of its proper divisors (1).

563340113521649 is an equidigital number, since it uses as much as digits as its factorization.

563340113521649 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6998400, while the sum is 53.

The spelling of 563340113521649 in words is "five hundred sixty-three trillion, three hundred forty billion, one hundred thirteen million, five hundred twenty-one thousand, six hundred forty-nine".