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1005000613 is a prime number
BaseRepresentation
bin111011111001110…
…001011110100101
32121001002022122221
4323321301132211
54024240004423
6243420352341
733622235641
oct7371613645
92531068587
101005000613
11476329921
122406a56b1
1313029b326
149768dc21
155d36ce5d
hex3be717a5

1005000613 has 2 divisors, whose sum is σ = 1005000614. Its totient is φ = 1005000612.

The previous prime is 1005000599. The next prime is 1005000653. The reversal of 1005000613 is 3160005001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 886669729 + 118330884 = 29777^2 + 10878^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1005000613 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005000653) 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, 502500306 + 502500307.

It is an arithmetic number, because the mean of its divisors is an integer number (502500307).

Almost surely, 21005000613 is an apocalyptic number.

It is an amenable number.

1005000613 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005000613 is an equidigital number, since it uses as much as digits as its factorization.

1005000613 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 1005000613 is about 31701.7446365338. The cubic root of 1005000613 is about 1001.6641002343.

Adding to 1005000613 its reverse (3160005001), we get a palindrome (4165005614).

The spelling of 1005000613 in words is "one billion, five million, six hundred thirteen", and thus it is an aban number.