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36363541 is a prime number
BaseRepresentation
bin1000101010110…
…1110100010101
32112102110101211
42022231310111
533302113131
63335221421
7621041104
oct212556425
975373354
1036363541
1119587515
1210217871
1376c25b6
144b8803b
1532d45b1
hex22add15

36363541 has 2 divisors, whose sum is σ = 36363542. Its totient is φ = 36363540.

The previous prime is 36363517. The next prime is 36363553. The reversal of 36363541 is 14536363.

36363541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32832900 + 3530641 = 5730^2 + 1879^2 .

It is a cyclic number.

It is not a de Polignac number, because 36363541 - 27 = 36363413 is a prime.

It is a super-2 number, since 2×363635412 = 2644614228117362, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36363641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18181770 + 18181771.

It is an arithmetic number, because the mean of its divisors is an integer number (18181771).

Almost surely, 236363541 is an apocalyptic number.

It is an amenable number.

36363541 is a deficient number, since it is larger than the sum of its proper divisors (1).

36363541 is an equidigital number, since it uses as much as digits as its factorization.

36363541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 19440, while the sum is 31.

The square root of 36363541 is about 6030.2189844151. The cubic root of 36363541 is about 331.3004728596.

The spelling of 36363541 in words is "thirty-six million, three hundred sixty-three thousand, five hundred forty-one".