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506059993 is a prime number
BaseRepresentation
bin11110001010011…
…101110011011001
31022021020111210201
4132022131303121
52014022404433
6122114342201
715353303365
oct3612356331
91267214721
10506059993
1123a7263aa
1212158a961
1380ac74aa
144b2d22a5
152e663a7d
hex1e29dcd9

506059993 has 2 divisors, whose sum is σ = 506059994. Its totient is φ = 506059992.

The previous prime is 506059979. The next prime is 506059999. The reversal of 506059993 is 399950605.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 275991769 + 230068224 = 16613^2 + 15168^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-506059993 is a prime.

It is not a weakly prime, because it can be changed into another prime (506059999) 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, 253029996 + 253029997.

It is an arithmetic number, because the mean of its divisors is an integer number (253029997).

Almost surely, 2506059993 is an apocalyptic number.

It is an amenable number.

506059993 is a deficient number, since it is larger than the sum of its proper divisors (1).

506059993 is an equidigital number, since it uses as much as digits as its factorization.

506059993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 328050, while the sum is 46.

The square root of 506059993 is about 22495.7772259595. Note that the first 3 decimals coincide. The cubic root of 506059993 is about 796.8942045004.

The spelling of 506059993 in words is "five hundred six million, fifty-nine thousand, nine hundred ninety-three".