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505535521 is a prime number
BaseRepresentation
bin11110001000011…
…101110000100001
31022020020212100211
4132020131300201
52013404114041
6122055214121
715345660331
oct3610356041
91266225324
10505535521
1123a3a8357
12121377341
138097285a
144b1d70c1
152e5ad481
hex1e21dc21

505535521 has 2 divisors, whose sum is σ = 505535522. Its totient is φ = 505535520.

The previous prime is 505535519. The next prime is 505535539. The reversal of 505535521 is 125535505.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 433472400 + 72063121 = 20820^2 + 8489^2 .

It is a cyclic number.

It is not a de Polignac number, because 505535521 - 21 = 505535519 is a prime.

Together with 505535519, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (505535501) 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, 252767760 + 252767761.

It is an arithmetic number, because the mean of its divisors is an integer number (252767761).

Almost surely, 2505535521 is an apocalyptic number.

It is an amenable number.

505535521 is a deficient number, since it is larger than the sum of its proper divisors (1).

505535521 is an equidigital number, since it uses as much as digits as its factorization.

505535521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18750, while the sum is 31.

The square root of 505535521 is about 22484.1170829544. The cubic root of 505535521 is about 796.6188134590.

The spelling of 505535521 in words is "five hundred five million, five hundred thirty-five thousand, five hundred twenty-one".