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42879390320513 is a prime number
BaseRepresentation
bin10011011111111101000101…
…10101000000011110000001
312121211020012102210202020102
421233332202311000132001
521110013442410224023
6231110304151452145
712013635156663155
oct1157764265003601
9177736172722212
1042879390320513
1112732057a7748a
124986391087055
131ac06808059c6
14a835330c3065
154e55d0bc9628
hex26ffa2d40781

42879390320513 has 2 divisors, whose sum is σ = 42879390320514. Its totient is φ = 42879390320512.

The previous prime is 42879390320491. The next prime is 42879390320623. The reversal of 42879390320513 is 31502309397824.

42879390320513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 42866508751504 + 12881569009 = 6547252^2 + 113497^2 .

It is a cyclic number.

It is not a de Polignac number, because 42879390320513 - 26 = 42879390320449 is a prime.

It is a super-2 number, since 2×428793903205132 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (42879390350513) 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, 21439695160256 + 21439695160257.

It is an arithmetic number, because the mean of its divisors is an integer number (21439695160257).

Almost surely, 242879390320513 is an apocalyptic number.

It is an amenable number.

42879390320513 is a deficient number, since it is larger than the sum of its proper divisors (1).

42879390320513 is an equidigital number, since it uses as much as digits as its factorization.

42879390320513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9797760, while the sum is 56.

The spelling of 42879390320513 in words is "forty-two trillion, eight hundred seventy-nine billion, three hundred ninety million, three hundred twenty thousand, five hundred thirteen".