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506241353 is a prime number
BaseRepresentation
bin11110001011001…
…010000101001001
31022021120201120202
4132023022011021
52014044210403
6122122301545
715354660212
oct3613120511
91267521522
10506241353
1123a83a692
121216578b5
1380b5bbc7
144b33c409
152e69c688
hex1e2ca149

506241353 has 2 divisors, whose sum is σ = 506241354. Its totient is φ = 506241352.

The previous prime is 506241331. The next prime is 506241367. The reversal of 506241353 is 353142605.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 393308224 + 112933129 = 19832^2 + 10627^2 .

It is a cyclic number.

It is not a de Polignac number, because 506241353 - 28 = 506241097 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (506241383) 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, 253120676 + 253120677.

It is an arithmetic number, because the mean of its divisors is an integer number (253120677).

Almost surely, 2506241353 is an apocalyptic number.

It is an amenable number.

506241353 is a deficient number, since it is larger than the sum of its proper divisors (1).

506241353 is an equidigital number, since it uses as much as digits as its factorization.

506241353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10800, while the sum is 29.

The square root of 506241353 is about 22499.8078436239. The cubic root of 506241353 is about 796.9893891778.

Adding to 506241353 its reverse (353142605), we get a palindrome (859383958).

The spelling of 506241353 in words is "five hundred six million, two hundred forty-one thousand, three hundred fifty-three".