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36556561 is a prime number
BaseRepresentation
bin1000101101110…
…0111100010001
32112210021011201
42023130330101
533324302221
63343311201
7622503616
oct213347421
975707151
1036556561
11196a9538
12102ab501
13775c402
144bd850d
153321891
hex22dcf11

36556561 has 2 divisors, whose sum is σ = 36556562. Its totient is φ = 36556560.

The previous prime is 36556549. The next prime is 36556571. The reversal of 36556561 is 16565563.

It is a happy number.

36556561 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., 33814225 + 2742336 = 5815^2 + 1656^2 .

It is a cyclic number.

It is not a de Polignac number, because 36556561 - 29 = 36556049 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 36556561.

It is not a weakly prime, because it can be changed into another prime (36556571) 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, 18278280 + 18278281.

It is an arithmetic number, because the mean of its divisors is an integer number (18278281).

Almost surely, 236556561 is an apocalyptic number.

It is an amenable number.

36556561 is a deficient number, since it is larger than the sum of its proper divisors (1).

36556561 is an equidigital number, since it uses as much as digits as its factorization.

36556561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 81000, while the sum is 37.

The square root of 36556561 is about 6046.2021964205. The cubic root of 36556561 is about 331.8856267618.

The spelling of 36556561 in words is "thirty-six million, five hundred fifty-six thousand, five hundred sixty-one".