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565413313 is a prime number
BaseRepresentation
bin100001101100111…
…000010111000001
31110101220222020211
4201230320113001
52124221211223
6132034434121
720003635213
oct4154702701
91411828224
10565413313
11270185433
12139432941
13901a8cba
14551425b3
1534989d0d
hex21b385c1

565413313 has 2 divisors, whose sum is σ = 565413314. Its totient is φ = 565413312.

The previous prime is 565413311. The next prime is 565413367. The reversal of 565413313 is 313314565.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 518791729 + 46621584 = 22777^2 + 6828^2 .

It is a cyclic number.

It is not a de Polignac number, because 565413313 - 21 = 565413311 is a prime.

Together with 565413311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (565413311) 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, 282706656 + 282706657.

It is an arithmetic number, because the mean of its divisors is an integer number (282706657).

Almost surely, 2565413313 is an apocalyptic number.

It is an amenable number.

565413313 is a deficient number, since it is larger than the sum of its proper divisors (1).

565413313 is an equidigital number, since it uses as much as digits as its factorization.

565413313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 16200, while the sum is 31.

The square root of 565413313 is about 23778.4211628947. The cubic root of 565413313 is about 826.9044771035.

Adding to 565413313 its reverse (313314565), we get a palindrome (878727878).

The spelling of 565413313 in words is "five hundred sixty-five million, four hundred thirteen thousand, three hundred thirteen".