Search a number
-
+
803292910513 is a prime number
BaseRepresentation
bin10111011000001111111…
…11010001001110110001
32211210102212022221000021
423230013333101032301
5101130120441114023
61413005550523441
7112015230036142
oct13540777211661
92753385287007
10803292910513
1128a7469a7145
1210b825206581
135a99a248b32
142ac45817ac9
1515d6744435d
hexbb07fd13b1

803292910513 has 2 divisors, whose sum is σ = 803292910514. Its totient is φ = 803292910512.

The previous prime is 803292910507. The next prime is 803292910561. The reversal of 803292910513 is 315019292308.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 639908803249 + 163384107264 = 799943^2 + 404208^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-803292910513 is a prime.

It is a super-3 number, since 3×8032929105133 (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 803292910513.

It is not a weakly prime, because it can be changed into another prime (803292914513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 401646455256 + 401646455257.

It is an arithmetic number, because the mean of its divisors is an integer number (401646455257).

Almost surely, 2803292910513 is an apocalyptic number.

It is an amenable number.

803292910513 is a deficient number, since it is larger than the sum of its proper divisors (1).

803292910513 is an equidigital number, since it uses as much as digits as its factorization.

803292910513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 116640, while the sum is 43.

The spelling of 803292910513 in words is "eight hundred three billion, two hundred ninety-two million, nine hundred ten thousand, five hundred thirteen".