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1006361120353 is a prime number
BaseRepresentation
bin11101010010011111100…
…11000000111001100001
310120012121000222211011011
432221033303000321201
5112442011421322403
62050152123220521
7132464365245301
oct16511763007141
93505530884134
101006361120353
11358882686856
12143058377741
1373b90112294
14369cb1b9601
151b29ee32a6d
hexea4fcc0e61

1006361120353 has 2 divisors, whose sum is σ = 1006361120354. Its totient is φ = 1006361120352.

The previous prime is 1006361120327. The next prime is 1006361120381. The reversal of 1006361120353 is 3530211636001.

1006361120353 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 873565014609 + 132796105744 = 934647^2 + 364412^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006361120353 - 25 = 1006361120321 is a prime.

It is not a weakly prime, because it can be changed into another prime (1006361120393) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503180560176 + 503180560177.

It is an arithmetic number, because the mean of its divisors is an integer number (503180560177).

Almost surely, 21006361120353 is an apocalyptic number.

It is an amenable number.

1006361120353 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006361120353 is an equidigital number, since it uses as much as digits as its factorization.

1006361120353 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9720, while the sum is 31.

Adding to 1006361120353 its reverse (3530211636001), we get a palindrome (4536572756354).

The spelling of 1006361120353 in words is "one trillion, six billion, three hundred sixty-one million, one hundred twenty thousand, three hundred fifty-three".