Search a number
-
+
535343452001681 is a prime number
BaseRepresentation
bin111100110111001000101110…
…0010010100001010110010001
32121012111100000121220221122112
41321232101130102201112101
51030132031342203023211
65134325215305515105
7220522200541222361
oct17156213422412621
92535440017827575
10535343452001681
11145638979309674
1250061192aa2a95
1319c93894caa69b
14962aa931249a1
1541d57a216988b
hex1e6e45c4a1591

535343452001681 has 2 divisors, whose sum is σ = 535343452001682. Its totient is φ = 535343452001680.

The previous prime is 535343452001521. The next prime is 535343452001719. The reversal of 535343452001681 is 186100254343535.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 533525919312400 + 1817532689281 = 23098180^2 + 1348159^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-535343452001681 is a prime.

It is a super-2 number, since 2×5353434520016812 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (535343452001881) 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, 267671726000840 + 267671726000841.

It is an arithmetic number, because the mean of its divisors is an integer number (267671726000841).

Almost surely, 2535343452001681 is an apocalyptic number.

It is an amenable number.

535343452001681 is a deficient number, since it is larger than the sum of its proper divisors (1).

535343452001681 is an equidigital number, since it uses as much as digits as its factorization.

535343452001681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184000, while the sum is 50.

The spelling of 535343452001681 in words is "five hundred thirty-five trillion, three hundred forty-three billion, four hundred fifty-two million, one thousand, six hundred eighty-one".