Search a number
-
+
57182817273133 is a prime number
BaseRepresentation
bin11010000000001111010011…
…00000101100010100101101
321111110121211212001221222011
431000013221200230110231
524443340402210220013
6321341231255321221
715021215343030616
oct1500075140542455
9244417755057864
1057182817273133
1117247107663612
1264b64b5980211
1325ba41655a266
14101993d878c0d
156926ca064c3d
hex3401e982c52d

57182817273133 has 2 divisors, whose sum is σ = 57182817273134. Its totient is φ = 57182817273132.

The previous prime is 57182817273119. The next prime is 57182817273137. The reversal of 57182817273133 is 33137271828175.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56939746580649 + 243070692484 = 7545843^2 + 493022^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-57182817273133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57182817273137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28591408636566 + 28591408636567.

It is an arithmetic number, because the mean of its divisors is an integer number (28591408636567).

Almost surely, 257182817273133 is an apocalyptic number.

It is an amenable number.

57182817273133 is a deficient number, since it is larger than the sum of its proper divisors (1).

57182817273133 is an equidigital number, since it uses as much as digits as its factorization.

57182817273133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11854080, while the sum is 58.

The spelling of 57182817273133 in words is "fifty-seven trillion, one hundred eighty-two billion, eight hundred seventeen million, two hundred seventy-three thousand, one hundred thirty-three".