Search a number
-
+
36553331 is a prime number
BaseRepresentation
bin1000101101110…
…0001001110011
32112210002202002
42023130021303
533324201311
63343244215
7622461323
oct213341163
975702662
1036553331
11196a7071
12102a966b
13775aab9
144bd7283
15332093b
hex22dc273

36553331 has 2 divisors, whose sum is σ = 36553332. Its totient is φ = 36553330.

The previous prime is 36553313. The next prime is 36553337. The reversal of 36553331 is 13335563.

36553331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (36553313) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-36553331 is a prime.

It is a super-2 number, since 2×365533312 = 2672292014391122, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 36553294 and 36553303.

It is not a weakly prime, because it can be changed into another prime (36553337) 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, 18276665 + 18276666.

It is an arithmetic number, because the mean of its divisors is an integer number (18276666).

Almost surely, 236553331 is an apocalyptic number.

36553331 is a deficient number, since it is larger than the sum of its proper divisors (1).

36553331 is an equidigital number, since it uses as much as digits as its factorization.

36553331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12150, while the sum is 29.

The square root of 36553331 is about 6045.9350806968. The cubic root of 36553331 is about 331.8758517527.

Adding to 36553331 its reverse (13335563), we get a palindrome (49888894).

The spelling of 36553331 in words is "thirty-six million, five hundred fifty-three thousand, three hundred thirty-one".