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51012783129089 is a prime number
BaseRepresentation
bin10111001100101010101101…
…10100010100001000000001
320200121202220120021221010102
423212111112310110020001
523141243134440112324
6300254540554412145
713513360215113105
oct1346252664241001
9220552816257112
1051012783129089
11152884441a3081
12587a751a31055
13226063c17a112
14c85063685905
155d6e5d789dae
hex2e6556d14201

51012783129089 has 2 divisors, whose sum is σ = 51012783129090. Its totient is φ = 51012783129088.

The previous prime is 51012783129029. The next prime is 51012783129167. The reversal of 51012783129089 is 98092138721015.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 49829593944064 + 1183189185025 = 7059008^2 + 1087745^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-51012783129089 is a prime.

It is not a weakly prime, because it can be changed into another prime (51012783129029) 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, 25506391564544 + 25506391564545.

It is an arithmetic number, because the mean of its divisors is an integer number (25506391564545).

Almost surely, 251012783129089 is an apocalyptic number.

It is an amenable number.

51012783129089 is a deficient number, since it is larger than the sum of its proper divisors (1).

51012783129089 is an equidigital number, since it uses as much as digits as its factorization.

51012783129089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2177280, while the sum is 56.

The spelling of 51012783129089 in words is "fifty-one trillion, twelve billion, seven hundred eighty-three million, one hundred twenty-nine thousand, eighty-nine".