Search a number
-
+
564311441 is a prime number
BaseRepresentation
bin100001101000101…
…011010110010001
31110022211222202202
4201220223112101
52123430431231
6131555052545
716661365601
oct4150532621
91408758682
10564311441
1126a5a25a1
12138ba1155
138cbb15c5
1454d36c01
153481d5cb
hex21a2b591

564311441 has 2 divisors, whose sum is σ = 564311442. Its totient is φ = 564311440.

The previous prime is 564311437. The next prime is 564311443. The reversal of 564311441 is 144113465.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 520022416 + 44289025 = 22804^2 + 6655^2 .

It is a cyclic number.

It is not a de Polignac number, because 564311441 - 22 = 564311437 is a prime.

Together with 564311443, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (564311443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 282155720 + 282155721.

It is an arithmetic number, because the mean of its divisors is an integer number (282155721).

Almost surely, 2564311441 is an apocalyptic number.

It is an amenable number.

564311441 is a deficient number, since it is larger than the sum of its proper divisors (1).

564311441 is an equidigital number, since it uses as much as digits as its factorization.

564311441 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 564311441 is about 23755.2402850403. The cubic root of 564311441 is about 826.3669733069.

The spelling of 564311441 in words is "five hundred sixty-four million, three hundred eleven thousand, four hundred forty-one".