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53123320513 is a prime number
BaseRepresentation
bin110001011110011001…
…011000101011000001
312002010020220021220101
4301132121120223001
51332244032224023
640223213042401
73560305526314
oct613631305301
9162106807811
1053123320513
1120590802a7a
12a366a86401
135017b71683
1427dd47897b
1515adb981ad
hexc5e658ac1

53123320513 has 2 divisors, whose sum is σ = 53123320514. Its totient is φ = 53123320512.

The previous prime is 53123320511. The next prime is 53123320573. The reversal of 53123320513 is 31502332135.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33748629264 + 19374691249 = 183708^2 + 139193^2 .

It is a cyclic number.

It is not a de Polignac number, because 53123320513 - 21 = 53123320511 is a prime.

Together with 53123320511, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (53123320511) 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, 26561660256 + 26561660257.

It is an arithmetic number, because the mean of its divisors is an integer number (26561660257).

Almost surely, 253123320513 is an apocalyptic number.

It is an amenable number.

53123320513 is a deficient number, since it is larger than the sum of its proper divisors (1).

53123320513 is an equidigital number, since it uses as much as digits as its factorization.

53123320513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8100, while the sum is 28.

Adding to 53123320513 its reverse (31502332135), we get a palindrome (84625652648).

The spelling of 53123320513 in words is "fifty-three billion, one hundred twenty-three million, three hundred twenty thousand, five hundred thirteen".