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1005063413 is a prime number
BaseRepresentation
bin111011111010000…
…000110011110101
32121001012111210212
4323322000303311
54024244012123
6243421555205
733622620014
oct7372006365
92531174725
101005063413
11476372022
12240715b05
131302c0aa3
14976a8a7b
155d381878
hex3be80cf5

1005063413 has 2 divisors, whose sum is σ = 1005063414. Its totient is φ = 1005063412.

The previous prime is 1005063401. The next prime is 1005063427. The reversal of 1005063413 is 3143605001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 963047089 + 42016324 = 31033^2 + 6482^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1005063413 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005063013) 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, 502531706 + 502531707.

It is an arithmetic number, because the mean of its divisors is an integer number (502531707).

Almost surely, 21005063413 is an apocalyptic number.

It is an amenable number.

1005063413 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005063413 is an equidigital number, since it uses as much as digits as its factorization.

1005063413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 1005063413 is about 31702.7351028267. The cubic root of 1005063413 is about 1001.6849636363.

Adding to 1005063413 its reverse (3143605001), we get a palindrome (4148668414).

The spelling of 1005063413 in words is "one billion, five million, sixty-three thousand, four hundred thirteen".