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1005535007 is a prime number
BaseRepresentation
bin111011111011110…
…011111100011111
32121002002110201022
4323323303330133
54024404110012
6243440034355
733626622641
oct7373637437
92532073638
101005535007
11476664374
122409029bb
13130427639
149778c891
155d426472
hex3bef3f1f

1005535007 has 2 divisors, whose sum is σ = 1005535008. Its totient is φ = 1005535006.

The previous prime is 1005534857. The next prime is 1005535019. The reversal of 1005535007 is 7005355001.

It is a strong prime.

It is an emirp because it is prime and its reverse (7005355001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1005535007 - 228 = 737099551 is a prime.

It is a super-2 number, since 2×10055350072 = 2022201300604980098, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005535807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502767503 + 502767504.

It is an arithmetic number, because the mean of its divisors is an integer number (502767504).

Almost surely, 21005535007 is an apocalyptic number.

1005535007 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005535007 is an equidigital number, since it uses as much as digits as its factorization.

1005535007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2625, while the sum is 26.

The square root of 1005535007 is about 31710.1719799814. The cubic root of 1005535007 is about 1001.8416087287.

The spelling of 1005535007 in words is "one billion, five million, five hundred thirty-five thousand, seven".