Search a number
-
+
36057533 is a prime number
BaseRepresentation
bin1000100110001…
…1000110111101
32111211220122012
42021203012331
533212320113
63324501005
7615325001
oct211430675
974756565
1036057533
1119398616
12100aa765
137616225
144b08701
153273aa8
hex22631bd

36057533 has 2 divisors, whose sum is σ = 36057534. Its totient is φ = 36057532.

The previous prime is 36057529. The next prime is 36057569. The reversal of 36057533 is 33575063.

36057533 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25989604 + 10067929 = 5098^2 + 3173^2 .

It is a cyclic number.

It is not a de Polignac number, because 36057533 - 22 = 36057529 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 36057533.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36057523) 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, 18028766 + 18028767.

It is an arithmetic number, because the mean of its divisors is an integer number (18028767).

Almost surely, 236057533 is an apocalyptic number.

It is an amenable number.

36057533 is a deficient number, since it is larger than the sum of its proper divisors (1).

36057533 is an equidigital number, since it uses as much as digits as its factorization.

36057533 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28350, while the sum is 32.

The square root of 36057533 is about 6004.7925026599. The cubic root of 36057533 is about 330.3685292143.

The spelling of 36057533 in words is "thirty-six million, fifty-seven thousand, five hundred thirty-three".