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1284824517013 is a prime number
BaseRepresentation
bin10010101100100101100…
…000100100100110010101
311112211100122000001010201
4102230211200210212111
5132022310034021023
62422123520220501
7161553102125632
oct22544540444625
94484318001121
101284824517013
11455988a43214
1218901116a731
139420a0c94cb
1446285d25189
152364b9eabad
hex12b25824995

1284824517013 has 2 divisors, whose sum is σ = 1284824517014. Its totient is φ = 1284824517012.

The previous prime is 1284824516917. The next prime is 1284824517017. The reversal of 1284824517013 is 3107154284821.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 668376556849 + 616447960164 = 817543^2 + 785142^2 .

It is a cyclic number.

It is not a de Polignac number, because 1284824517013 - 217 = 1284824385941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1284824517017) 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, 642412258506 + 642412258507.

It is an arithmetic number, because the mean of its divisors is an integer number (642412258507).

Almost surely, 21284824517013 is an apocalyptic number.

It is an amenable number.

1284824517013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1284824517013 is an equidigital number, since it uses as much as digits as its factorization.

1284824517013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 430080, while the sum is 46.

The spelling of 1284824517013 in words is "one trillion, two hundred eighty-four billion, eight hundred twenty-four million, five hundred seventeen thousand, thirteen".