Search a number
-
+
4262527316081 is a prime number
BaseRepresentation
bin111110000001110010011…
…011010011000001110001
3120002111022212011011002002
4332001302123103001301
51024314123443103311
613022102241303345
7616646254243226
oct76016233230161
916074285134062
104262527316081
1113a3800600901
1258a133934b55
1324bc54349698
1410a4437d594d
1575d289a693b
hex3e0726d3071

4262527316081 has 2 divisors, whose sum is σ = 4262527316082. Its totient is φ = 4262527316080.

The previous prime is 4262527316063. The next prime is 4262527316083. The reversal of 4262527316081 is 1806137252624.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4261090906081 + 1436410000 = 2064241^2 + 37900^2 .

It is a cyclic number.

It is not a de Polignac number, because 4262527316081 - 218 = 4262527053937 is a prime.

It is a super-3 number, since 3×42625273160813 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

Together with 4262527316083, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (4262527316083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2131263658040 + 2131263658041.

It is an arithmetic number, because the mean of its divisors is an integer number (2131263658041).

Almost surely, 24262527316081 is an apocalyptic number.

It is an amenable number.

4262527316081 is a deficient number, since it is larger than the sum of its proper divisors (1).

4262527316081 is an equidigital number, since it uses as much as digits as its factorization.

4262527316081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 967680, while the sum is 47.

The spelling of 4262527316081 in words is "four trillion, two hundred sixty-two billion, five hundred twenty-seven million, three hundred sixteen thousand, eighty-one".