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5933312813 is a prime number
BaseRepresentation
bin1011000011010011…
…10010101100101101
3120022111120112001102
411201221302230231
544122412002223
62420431252445
7300014220041
oct54151625455
916274515042
105933312813
11257522280a
12119707a125
1373731a0ac
14404010021
1524ad63928
hex161a72b2d

5933312813 has 2 divisors, whose sum is σ = 5933312814. Its totient is φ = 5933312812.

The previous prime is 5933312713. The next prime is 5933312831. The reversal of 5933312813 is 3182133395.

Together with next prime (5933312831) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5349752164 + 583560649 = 73142^2 + 24157^2 .

It is a cyclic number.

It is not a de Polignac number, because 5933312813 - 210 = 5933311789 is a prime.

It is a super-3 number, since 3×59333128133 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (5933312863) 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, 2966656406 + 2966656407.

It is an arithmetic number, because the mean of its divisors is an integer number (2966656407).

Almost surely, 25933312813 is an apocalyptic number.

It is an amenable number.

5933312813 is a deficient number, since it is larger than the sum of its proper divisors (1).

5933312813 is an equidigital number, since it uses as much as digits as its factorization.

5933312813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 58320, while the sum is 38.

The square root of 5933312813 is about 77028.0001882432. Note that the first 3 decimals coincide. The cubic root of 5933312813 is about 1810.3633482975.

The spelling of 5933312813 in words is "five billion, nine hundred thirty-three million, three hundred twelve thousand, eight hundred thirteen".