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4005535133 is a prime number
BaseRepresentation
bin1110111010111111…
…1001110110011101
3101100011010021020002
43232233321312131
531200404111013
61501244304045
7201155325665
oct35657716635
911304107202
104005535133
111776024916
12939542025
134bab0bc42
1429dd951a5
151869ba358
hexeebf9d9d

4005535133 has 2 divisors, whose sum is σ = 4005535134. Its totient is φ = 4005535132.

The previous prime is 4005535117. The next prime is 4005535147. The reversal of 4005535133 is 3315355004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3994492804 + 11042329 = 63202^2 + 3323^2 .

It is a cyclic number.

It is not a de Polignac number, because 4005535133 - 24 = 4005535117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4005535096 and 4005535105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4005535033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2002767566 + 2002767567.

It is an arithmetic number, because the mean of its divisors is an integer number (2002767567).

Almost surely, 24005535133 is an apocalyptic number.

It is an amenable number.

4005535133 is a deficient number, since it is larger than the sum of its proper divisors (1).

4005535133 is an equidigital number, since it uses as much as digits as its factorization.

4005535133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13500, while the sum is 29.

The square root of 4005535133 is about 63289.2971441459. The cubic root of 4005535133 is about 1588.1329208182.

The spelling of 4005535133 in words is "four billion, five million, five hundred thirty-five thousand, one hundred thirty-three".