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36125081 is a prime number
BaseRepresentation
bin1000100111001…
…1100110011001
32111222100021222
42021303212121
533222000311
63330141425
7616025636
oct211634631
974870258
1036125081
1119434343
1210121875
13763abb5
144b2518d
153288adb
hex2273999

36125081 has 2 divisors, whose sum is σ = 36125082. Its totient is φ = 36125080.

The previous prime is 36125071. The next prime is 36125101. The reversal of 36125081 is 18052163.

36125081 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., 18619225 + 17505856 = 4315^2 + 4184^2 .

It is an emirp because it is prime and its reverse (18052163) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-36125081 is a prime.

It is a super-2 number, since 2×361250812 = 2610042954513122, which contains 22 as substring.

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 36125081.

It is not a weakly prime, because it can be changed into another prime (36125071) 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, 18062540 + 18062541.

It is an arithmetic number, because the mean of its divisors is an integer number (18062541).

Almost surely, 236125081 is an apocalyptic number.

It is an amenable number.

36125081 is a deficient number, since it is larger than the sum of its proper divisors (1).

36125081 is an equidigital number, since it uses as much as digits as its factorization.

36125081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 36125081 is about 6010.4143783936. The cubic root of 36125081 is about 330.5746979957.

The spelling of 36125081 in words is "thirty-six million, one hundred twenty-five thousand, eighty-one".