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505344641 is a prime number
BaseRepresentation
bin11110000111101…
…111001010000001
31022012220011112012
4132013233022001
52013332012031
6122051142305
715344233664
oct3607571201
91265804465
10505344641
1123a2879aa
121212a4995
13809069c9
144b1876db
152e571b2b
hex1e1ef281

505344641 has 2 divisors, whose sum is σ = 505344642. Its totient is φ = 505344640.

The previous prime is 505344589. The next prime is 505344649. The reversal of 505344641 is 146443505.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 471063616 + 34281025 = 21704^2 + 5855^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-505344641 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is equal to p26622059 and since 505344641 and 26622059 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 505344598 and 505344607.

It is not a weakly prime, because it can be changed into another prime (505344649) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252672320 + 252672321.

It is an arithmetic number, because the mean of its divisors is an integer number (252672321).

Almost surely, 2505344641 is an apocalyptic number.

It is an amenable number.

505344641 is a deficient number, since it is larger than the sum of its proper divisors (1).

505344641 is an equidigital number, since it uses as much as digits as its factorization.

505344641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 505344641 is about 22479.8719079981. The cubic root of 505344641 is about 796.5185384471.

It can be divided in two parts, 5053 and 44641, that added together give a palindrome (49694).

The spelling of 505344641 in words is "five hundred five million, three hundred forty-four thousand, six hundred forty-one".