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1288553324161 is a prime number
BaseRepresentation
bin10010110000000011110…
…000110101111010000001
311120011222111102001221011
4102300003300311322001
5132102424122333121
62423541521400521
7162044360352535
oct22600360657201
94504874361834
101288553324161
11457521839214
12189891a99141
139468279817c
144651b243bc5
15237b90527e1
hex12c03c35e81

1288553324161 has 2 divisors, whose sum is σ = 1288553324162. Its totient is φ = 1288553324160.

The previous prime is 1288553324099. The next prime is 1288553324167. The reversal of 1288553324161 is 1614233558821.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1045424451600 + 243128872561 = 1022460^2 + 493081^2 .

It is a cyclic number.

It is not a de Polignac number, because 1288553324161 - 231 = 1286405840513 is a prime.

It is not a weakly prime, because it can be changed into another prime (1288553324167) 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, 644276662080 + 644276662081.

It is an arithmetic number, because the mean of its divisors is an integer number (644276662081).

Almost surely, 21288553324161 is an apocalyptic number.

It is an amenable number.

1288553324161 is a deficient number, since it is larger than the sum of its proper divisors (1).

1288553324161 is an equidigital number, since it uses as much as digits as its factorization.

1288553324161 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1382400, while the sum is 49.

The spelling of 1288553324161 in words is "one trillion, two hundred eighty-eight billion, five hundred fifty-three million, three hundred twenty-four thousand, one hundred sixty-one".