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36380331521 is a prime number
BaseRepresentation
bin100001111000011011…
…111100111000000001
310110220102000022210222
4201320123330320001
51044001331102041
624413552432425
72425352500322
oct417033747001
9113812008728
1036380331521
1114479826596
127073848715
13357a1a6bb1
141a9197c449
15e2dd3c74b
hex8786fce01

36380331521 has 2 divisors, whose sum is σ = 36380331522. Its totient is φ = 36380331520.

The previous prime is 36380331457. The next prime is 36380331523. The reversal of 36380331521 is 12513308363.

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., 34907690896 + 1472640625 = 186836^2 + 38375^2 .

It is a cyclic number.

It is not a de Polignac number, because 36380331521 - 26 = 36380331457 is a prime.

Together with 36380331523, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (36380331523) 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, 18190165760 + 18190165761.

It is an arithmetic number, because the mean of its divisors is an integer number (18190165761).

Almost surely, 236380331521 is an apocalyptic number.

It is an amenable number.

36380331521 is a deficient number, since it is larger than the sum of its proper divisors (1).

36380331521 is an equidigital number, since it uses as much as digits as its factorization.

36380331521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38880, while the sum is 35.

Adding to 36380331521 its reverse (12513308363), we get a palindrome (48893639884).

The spelling of 36380331521 in words is "thirty-six billion, three hundred eighty million, three hundred thirty-one thousand, five hundred twenty-one".