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259591095053 = 8917316859849
BaseRepresentation
bin1111000111000011010…
…1011100001100001101
3220211001100102222002222
43301300311130030031
513223120310020203
6315130550025125
724516623621003
oct3616065341415
9824040388088
10259591095053
11a0101450994
12423886481a5
131b63013a774
14c7c8532a73
156b44d55038
hex3c70d5c30d

259591095053 has 8 divisors (see below), whose sum is σ = 264025251000. Its totient is φ = 255190659328.

The previous prime is 259591095031. The next prime is 259591095067. The reversal of 259591095053 is 350590195952.

259591095053 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 57952377289 + 201638717764 = 240733^2 + 449042^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-259591095053 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 259591094986 and 259591095004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259591095013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8414528 + ... + 8445321.

It is an arithmetic number, because the mean of its divisors is an integer number (33003156375).

Almost surely, 2259591095053 is an apocalyptic number.

It is an amenable number.

259591095053 is a deficient number, since it is larger than the sum of its proper divisors (4434155947).

259591095053 is a wasteful number, since it uses less digits than its factorization.

259591095053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16860111.

The product of its (nonzero) digits is 2733750, while the sum is 53.

The spelling of 259591095053 in words is "two hundred fifty-nine billion, five hundred ninety-one million, ninety-five thousand, fifty-three".

Divisors: 1 89 173 15397 16859849 1500526561 2916753877 259591095053