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1017060041 is a prime number
BaseRepresentation
bin111100100111110…
…001101011001001
32121212210000002102
4330213301223021
54040331410131
6244531043145
734126603424
oct7447615311
92555700072
101017060041
11482116298
122447404b5
1313293139a
149910c9bb
155e4511cb
hex3c9f1ac9

1017060041 has 2 divisors, whose sum is σ = 1017060042. Its totient is φ = 1017060040.

The previous prime is 1017059999. The next prime is 1017060103. The reversal of 1017060041 is 1400607101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 511709641 + 505350400 = 22621^2 + 22480^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1017060041 is a prime.

It is a super-2 number, since 2×10170600412 = 2068822253997843362, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1017059995 and 1017060022.

It is not a weakly prime, because it can be changed into another prime (1017000041) 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, 508530020 + 508530021.

It is an arithmetic number, because the mean of its divisors is an integer number (508530021).

Almost surely, 21017060041 is an apocalyptic number.

It is an amenable number.

1017060041 is a deficient number, since it is larger than the sum of its proper divisors (1).

1017060041 is an equidigital number, since it uses as much as digits as its factorization.

1017060041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 1017060041 is about 31891.3787880048. The cubic root of 1017060041 is about 1005.6546450535.

Adding to 1017060041 its reverse (1400607101), we get a palindrome (2417667142).

The spelling of 1017060041 in words is "one billion, seventeen million, sixty thousand, forty-one".