Search a number
-
+
10595509601 is a prime number
BaseRepresentation
bin10011101111000101…
…01010010101100001
31000100102022122201112
421313202222111201
5133144422301401
64511214313105
7523365226355
oct116742522541
930312278645
1010595509601
114547986206
1220784b8795
13ccb1a3211
1472729b465
154202e03bb
hex2778aa561

10595509601 has 2 divisors, whose sum is σ = 10595509602. Its totient is φ = 10595509600.

The previous prime is 10595509597. The next prime is 10595509609. The reversal of 10595509601 is 10690559501.

10595509601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6871581025 + 3723928576 = 82895^2 + 61024^2 .

It is an emirp because it is prime and its reverse (10690559501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10595509601 - 22 = 10595509597 is a prime.

It is a super-2 number, since 2×105955096012 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10595509609) 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, 5297754800 + 5297754801.

It is an arithmetic number, because the mean of its divisors is an integer number (5297754801).

Almost surely, 210595509601 is an apocalyptic number.

It is an amenable number.

10595509601 is a deficient number, since it is larger than the sum of its proper divisors (1).

10595509601 is an equidigital number, since it uses as much as digits as its factorization.

10595509601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60750, while the sum is 41.

The spelling of 10595509601 in words is "ten billion, five hundred ninety-five million, five hundred nine thousand, six hundred one".