Search a number
-
+
511344641 is a prime number
BaseRepresentation
bin11110011110101…
…000000000000001
31022122011222222102
4132132220000001
52021401012031
6122423520145
715446233463
oct3636500001
91278158872
10511344641
11242705885
121232b9055
1381c279c2
144bcaa133
152ed597cb
hex1e7a8001

511344641 has 2 divisors, whose sum is σ = 511344642. Its totient is φ = 511344640.

The previous prime is 511344637. The next prime is 511344653. The reversal of 511344641 is 146443115.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 394618225 + 116726416 = 19865^2 + 10804^2 .

It is a cyclic number.

It is not a de Polignac number, because 511344641 - 22 = 511344637 is a prime.

It is a super-2 number, since 2×5113446412 = 522946683758837762, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (511344601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 255672320 + 255672321.

It is an arithmetic number, because the mean of its divisors is an integer number (255672321).

It is a Proth number, since it is equal to 15605 ⋅ 215 + 1 and 15605 < 215.

Almost surely, 2511344641 is an apocalyptic number.

It is an amenable number.

511344641 is a deficient number, since it is larger than the sum of its proper divisors (1).

511344641 is an equidigital number, since it uses as much as digits as its factorization.

511344641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5760, while the sum is 29.

The square root of 511344641 is about 22612.9308361389. The cubic root of 511344641 is about 799.6585214487.

Adding to 511344641 its reverse (146443115), we get a palindrome (657787756).

The spelling of 511344641 in words is "five hundred eleven million, three hundred forty-four thousand, six hundred forty-one".