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1338452813 is a prime number
BaseRepresentation
bin100111111000111…
…0010101101001101
310110021112110002102
41033301302231031
510220120442223
6340451404445
745111442535
oct11761625515
93407473072
101338452813
11627581455
123142b3725
131843ac519
14c9a904c5
157c788928
hex4fc72b4d

1338452813 has 2 divisors, whose sum is σ = 1338452814. Its totient is φ = 1338452812.

The previous prime is 1338452783. The next prime is 1338452849. The reversal of 1338452813 is 3182548331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 997422724 + 341030089 = 31582^2 + 18467^2 .

It is an emirp because it is prime and its reverse (3182548331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1338452813 - 212 = 1338448717 is a prime.

It is a super-3 number, since 3×13384528133 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1338472813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 669226406 + 669226407.

It is an arithmetic number, because the mean of its divisors is an integer number (669226407).

Almost surely, 21338452813 is an apocalyptic number.

It is an amenable number.

1338452813 is a deficient number, since it is larger than the sum of its proper divisors (1).

1338452813 is an equidigital number, since it uses as much as digits as its factorization.

1338452813 is an evil number, because the sum of its binary digits is even.

The product of its digits is 69120, while the sum is 38.

The square root of 1338452813 is about 36584.8713678209. The cubic root of 1338452813 is about 1102.0492963258.

The spelling of 1338452813 in words is "one billion, three hundred thirty-eight million, four hundred fifty-two thousand, eight hundred thirteen".