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12588054593 is a prime number
BaseRepresentation
bin10111011100100111…
…00111100001000001
31012111021122102121012
423232103213201001
5201240020221333
65441033410305
7623641461422
oct135623474101
935437572535
1012588054593
11537a6a0804
122533869995
131257c3a21a
14875b75649
154da1cde48
hex2ee4e7841

12588054593 has 2 divisors, whose sum is σ = 12588054594. Its totient is φ = 12588054592.

The previous prime is 12588054581. The next prime is 12588054599. The reversal of 12588054593 is 39545088521.

12588054593 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10069721104 + 2518333489 = 100348^2 + 50183^2 .

It is a cyclic number.

It is not a de Polignac number, because 12588054593 - 26 = 12588054529 is a prime.

It is not a weakly prime, because it can be changed into another prime (12588054599) 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, 6294027296 + 6294027297.

It is an arithmetic number, because the mean of its divisors is an integer number (6294027297).

Almost surely, 212588054593 is an apocalyptic number.

It is an amenable number.

12588054593 is a deficient number, since it is larger than the sum of its proper divisors (1).

12588054593 is an equidigital number, since it uses as much as digits as its factorization.

12588054593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728000, while the sum is 50.

The spelling of 12588054593 in words is "twelve billion, five hundred eighty-eight million, fifty-four thousand, five hundred ninety-three".