Search a number
-
+
36125513 is a prime number
BaseRepresentation
bin1000100111001…
…1101101001001
32111222100212222
42021303231021
533222004023
63330143425
7616030124
oct211635511
974870788
1036125513
11194346a6
1210121b75
13763b158
144b253bb
153288cc8
hex2273b49

36125513 has 2 divisors, whose sum is σ = 36125514. Its totient is φ = 36125512.

The previous prime is 36125491. The next prime is 36125519. The reversal of 36125513 is 31552163.

36125513 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., 30327049 + 5798464 = 5507^2 + 2408^2 .

It is a cyclic number.

It is not a de Polignac number, because 36125513 - 210 = 36124489 is a prime.

It is not a weakly prime, because it can be changed into another prime (36125519) 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, 18062756 + 18062757.

It is an arithmetic number, because the mean of its divisors is an integer number (18062757).

Almost surely, 236125513 is an apocalyptic number.

It is an amenable number.

36125513 is a deficient number, since it is larger than the sum of its proper divisors (1).

36125513 is an equidigital number, since it uses as much as digits as its factorization.

36125513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2700, while the sum is 26.

The square root of 36125513 is about 6010.4503159081. The cubic root of 36125513 is about 330.5760157108.

Adding to 36125513 its reverse (31552163), we get a palindrome (67677676).

The spelling of 36125513 in words is "thirty-six million, one hundred twenty-five thousand, five hundred thirteen".