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205575944513 is a prime number
BaseRepresentation
bin1011111101110101000…
…1111111100101000001
3201122121221102000101212
42333131101333211001
511332004420211023
6234235033535505
720565235461002
oct2773521774501
9648557360355
10205575944513
117a203296905
1233a12b74595
13165025a3324
149d428671a9
155532c45e78
hex2fdd47f941

205575944513 has 2 divisors, whose sum is σ = 205575944514. Its totient is φ = 205575944512.

The previous prime is 205575944473. The next prime is 205575944657. The reversal of 205575944513 is 315449575502.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 167225380624 + 38350563889 = 408932^2 + 195833^2 .

It is a cyclic number.

It is not a de Polignac number, because 205575944513 - 28 = 205575944257 is a prime.

It is a super-2 number, since 2×2055759445132 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (205575944113) 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, 102787972256 + 102787972257.

It is an arithmetic number, because the mean of its divisors is an integer number (102787972257).

Almost surely, 2205575944513 is an apocalyptic number.

It is an amenable number.

205575944513 is a deficient number, since it is larger than the sum of its proper divisors (1).

205575944513 is an equidigital number, since it uses as much as digits as its factorization.

205575944513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780000, while the sum is 50.

The spelling of 205575944513 in words is "two hundred five billion, five hundred seventy-five million, nine hundred forty-four thousand, five hundred thirteen".