Search a number
-
+
35431544513653 is a prime number
BaseRepresentation
bin10000000111001100011001…
…00111111110010001110101
311122110020000020221120200121
420003212030213332101311
514121002300343414103
6203205005444211541
710314562463113441
oct1003461447762165
9148406006846617
1035431544513653
11103204851a7a02
123b82a54699bb1
1316a02461b3032
148a6c7850d821
154169c840b6bd
hex20398c9fe475

35431544513653 has 2 divisors, whose sum is σ = 35431544513654. Its totient is φ = 35431544513652.

The previous prime is 35431544513593. The next prime is 35431544513663. The reversal of 35431544513653 is 35631544513453.

35431544513653 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., 35129530518289 + 302013995364 = 5927017^2 + 549558^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-35431544513653 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 35431544513653.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (35431544513663) 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, 17715772256826 + 17715772256827.

It is an arithmetic number, because the mean of its divisors is an integer number (17715772256827).

Almost surely, 235431544513653 is an apocalyptic number.

It is an amenable number.

35431544513653 is a deficient number, since it is larger than the sum of its proper divisors (1).

35431544513653 is an equidigital number, since it uses as much as digits as its factorization.

35431544513653 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 19440000, while the sum is 52.

The spelling of 35431544513653 in words is "thirty-five trillion, four hundred thirty-one billion, five hundred forty-four million, five hundred thirteen thousand, six hundred fifty-three".