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3405457513 is a prime number
BaseRepresentation
bin1100101011111011…
…0010100001101001
322210022222011111001
43022332302201221
523433244120023
61321530435001
7150250624363
oct31276624151
98708864431
103405457513
1114983236a7
127b0592a61
134236b6c23
142443cbd33
1514de846ad
hexcafb2869

3405457513 has 2 divisors, whose sum is σ = 3405457514. Its totient is φ = 3405457512.

The previous prime is 3405457423. The next prime is 3405457543. The reversal of 3405457513 is 3157545043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3073926249 + 331531264 = 55443^2 + 18208^2 .

It is a cyclic number.

It is not a de Polignac number, because 3405457513 - 221 = 3403360361 is a prime.

It is not a weakly prime, because it can be changed into another prime (3405457543) 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, 1702728756 + 1702728757.

It is an arithmetic number, because the mean of its divisors is an integer number (1702728757).

Almost surely, 23405457513 is an apocalyptic number.

It is an amenable number.

3405457513 is a deficient number, since it is larger than the sum of its proper divisors (1).

3405457513 is an equidigital number, since it uses as much as digits as its factorization.

3405457513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126000, while the sum is 37.

The square root of 3405457513 is about 58356.2979720270. The cubic root of 3405457513 is about 1504.4987183485.

The spelling of 3405457513 in words is "three billion, four hundred five million, four hundred fifty-seven thousand, five hundred thirteen".