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36218561 is a prime number
BaseRepresentation
bin1000101000101…
…0011011000001
32112011002112012
42022022123001
533232443221
63332142305
7616565321
oct212123301
975132465
1036218561
11194985a5
1210167995
137671602
144b4b281
1532a665b
hex228a6c1

36218561 has 2 divisors, whose sum is σ = 36218562. Its totient is φ = 36218560.

The previous prime is 36218549. The next prime is 36218569. The reversal of 36218561 is 16581263.

36218561 = 42552 + 42562.

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., 18113536 + 18105025 = 4256^2 + 4255^2 .

It is a cyclic number.

It is not a de Polignac number, because 36218561 - 210 = 36217537 is a prime.

It is a Chen prime.

It is equal to p2216795 and since 36218561 and 2216795 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (36218569) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18109280 + 18109281.

It is an arithmetic number, because the mean of its divisors is an integer number (18109281).

Almost surely, 236218561 is an apocalyptic number.

36218561 is the 4256-th centered square number.

It is an amenable number.

36218561 is a deficient number, since it is larger than the sum of its proper divisors (1).

36218561 is an equidigital number, since it uses as much as digits as its factorization.

36218561 is an evil number, because the sum of its binary digits is even.

The product of its digits is 8640, while the sum is 32.

The square root of 36218561 is about 6018.1858562195. The cubic root of 36218561 is about 330.8595924538.

The spelling of 36218561 in words is "thirty-six million, two hundred eighteen thousand, five hundred sixty-one".