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506361241 is a prime number
BaseRepresentation
bin11110001011100…
…111010110011001
31022021210211001001
4132023213112121
52014112024431
6122125025001
715355666561
oct3613472631
91267724031
10506361241
1123a911771
121216b5161
1380ba1649
144b36dda1
152e6c2e61
hex1e2e7599

506361241 has 2 divisors, whose sum is σ = 506361242. Its totient is φ = 506361240.

The previous prime is 506361239. The next prime is 506361253. The reversal of 506361241 is 142163605.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 376515216 + 129846025 = 19404^2 + 11395^2 .

It is a cyclic number.

It is not a de Polignac number, because 506361241 - 21 = 506361239 is a prime.

Together with 506361239, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (506361211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253180620 + 253180621.

It is an arithmetic number, because the mean of its divisors is an integer number (253180621).

Almost surely, 2506361241 is an apocalyptic number.

It is an amenable number.

506361241 is a deficient number, since it is larger than the sum of its proper divisors (1).

506361241 is an equidigital number, since it uses as much as digits as its factorization.

506361241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 506361241 is about 22502.4718864395. The cubic root of 506361241 is about 797.0522985139.

The spelling of 506361241 in words is "five hundred six million, three hundred sixty-one thousand, two hundred forty-one".