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512782080029 is a prime number
BaseRepresentation
bin1110111011001000011…
…00011001100000011101
31211000120122221122200222
413131210030121200131
531400134203030104
61031322511331125
752022134522652
oct7354414314035
91730518848628
10512782080029
111885191303aa
1283469820aa5
133948032ca3b
141ab66a63c29
15d512d8b1be
hex776431981d

512782080029 has 2 divisors, whose sum is σ = 512782080030. Its totient is φ = 512782080028.

The previous prime is 512782079983. The next prime is 512782080049. The reversal of 512782080029 is 920080287215.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 459957952804 + 52824127225 = 678202^2 + 229835^2 .

It is a cyclic number.

It is not a de Polignac number, because 512782080029 - 224 = 512765302813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (512782080049) 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 as a sum of consecutive naturals, namely, 256391040014 + 256391040015.

It is an arithmetic number, because the mean of its divisors is an integer number (256391040015).

Almost surely, 2512782080029 is an apocalyptic number.

It is an amenable number.

512782080029 is a deficient number, since it is larger than the sum of its proper divisors (1).

512782080029 is an equidigital number, since it uses as much as digits as its factorization.

512782080029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 161280, while the sum is 44.

The spelling of 512782080029 in words is "five hundred twelve billion, seven hundred eighty-two million, eighty thousand, twenty-nine".