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1005257828083 is a prime number
BaseRepresentation
bin11101010000011100000…
…10010010011011110011
310120002202010221202200111
432220032002102123303
5112432232000444313
62045450432002151
7132425140360615
oct16501602223363
93502663852614
101005257828083
11358366922a63
121429aa990357
1373a4567ac12
1436924860db5
151b23814b43d
hexea0e0926f3

1005257828083 has 2 divisors, whose sum is σ = 1005257828084. Its totient is φ = 1005257828082.

The previous prime is 1005257828053. The next prime is 1005257828087. The reversal of 1005257828083 is 3808287525001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1005257828083 - 221 = 1005255730931 is a prime.

It is not a weakly prime, because it can be changed into another prime (1005257828087) 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, 502628914041 + 502628914042.

It is an arithmetic number, because the mean of its divisors is an integer number (502628914042).

Almost surely, 21005257828083 is an apocalyptic number.

1005257828083 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005257828083 is an equidigital number, since it uses as much as digits as its factorization.

1005257828083 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1075200, while the sum is 49.

The spelling of 1005257828083 in words is "one trillion, five billion, two hundred fifty-seven million, eight hundred twenty-eight thousand, eighty-three".