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36536630561 is a prime number
BaseRepresentation
bin100010000001110000…
…001011110100100001
310111022022010010210022
4202001300023310201
51044311334134221
624441254443225
72432261143544
oct420160136441
9114268103708
1036536630561
1114549a80352
1270b8063515
1335a369cc32
141aa862685b
15e3c9134ab
hex881c0bd21

36536630561 has 2 divisors, whose sum is σ = 36536630562. Its totient is φ = 36536630560.

The previous prime is 36536630551. The next prime is 36536630629. The reversal of 36536630561 is 16503663563.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 36503923600 + 32706961 = 191060^2 + 5719^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-36536630561 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (36536630551) 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, 18268315280 + 18268315281.

It is an arithmetic number, because the mean of its divisors is an integer number (18268315281).

Almost surely, 236536630561 is an apocalyptic number.

It is an amenable number.

36536630561 is a deficient number, since it is larger than the sum of its proper divisors (1).

36536630561 is an equidigital number, since it uses as much as digits as its factorization.

36536630561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 874800, while the sum is 44.

The spelling of 36536630561 in words is "thirty-six billion, five hundred thirty-six million, six hundred thirty thousand, five hundred sixty-one".