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10535316017 is a prime number
BaseRepresentation
bin10011100111111010…
…00010101000110001
31000012020001111122112
421303331002220301
5133034020103032
64501224215105
7522034465022
oct116375025061
930166044575
1010535316017
114516a02946
12206030a495
13cbb889105
1471d2acc49
15419da01b2
hex273f42a31

10535316017 has 2 divisors, whose sum is σ = 10535316018. Its totient is φ = 10535316016.

The previous prime is 10535315977. The next prime is 10535316047. The reversal of 10535316017 is 71061353501.

10535316017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10510555441 + 24760576 = 102521^2 + 4976^2 .

It is a cyclic number.

It is not a de Polignac number, because 10535316017 - 212 = 10535311921 is a prime.

It is a super-2 number, since 2×105353160172 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10535316047) 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, 5267658008 + 5267658009.

It is an arithmetic number, because the mean of its divisors is an integer number (5267658009).

Almost surely, 210535316017 is an apocalyptic number.

It is an amenable number.

10535316017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10535316017 is an equidigital number, since it uses as much as digits as its factorization.

10535316017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9450, while the sum is 32.

Adding to 10535316017 its reverse (71061353501), we get a palindrome (81596669518).

The spelling of 10535316017 in words is "ten billion, five hundred thirty-five million, three hundred sixteen thousand, seventeen".