Search a number
-
+
461135316246653 is a prime number
BaseRepresentation
bin110100011011001100110111…
…0101101111110000001111101
32020110202002212001110121122002
41220312121232231332001331
5440420220111424343103
64312430350104432045
7166062633005635616
oct15066315655760175
92213662761417562
10461135316246653
11123a284312805a4
1243877144478625
1316a3cb48793b79
1481c30d5956c0d
15384a2c3d80488
hex1a3666eb7e07d

461135316246653 has 2 divisors, whose sum is σ = 461135316246654. Its totient is φ = 461135316246652.

The previous prime is 461135316246541. The next prime is 461135316246707. The reversal of 461135316246653 is 356642613531164.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 460646074752889 + 489241493764 = 21462667^2 + 699458^2 .

It is a cyclic number.

It is not a de Polignac number, because 461135316246653 - 224 = 461135299469437 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (461135316146653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 230567658123326 + 230567658123327.

It is an arithmetic number, because the mean of its divisors is an integer number (230567658123327).

Almost surely, 2461135316246653 is an apocalyptic number.

It is an amenable number.

461135316246653 is a deficient number, since it is larger than the sum of its proper divisors (1).

461135316246653 is an equidigital number, since it uses as much as digits as its factorization.

461135316246653 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 27993600, while the sum is 56.

The spelling of 461135316246653 in words is "four hundred sixty-one trillion, one hundred thirty-five billion, three hundred sixteen million, two hundred forty-six thousand, six hundred fifty-three".