36066125 has 8 divisors (see below), whose sum is σ = 45010680. Its totient is φ = 28852800.

The previous prime is 36066109. The next prime is 36066127. The reversal of 36066125 is 52166063.

It can be written as a sum of positive squares in 4 ways, for example, as 293764 + 35772361 = 542^2 + 5981^2 .

It is not a de Polignac number, because 36066125 - 2⁴ = 36066109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36066127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144140 + ... + 144389.

It is an arithmetic number, because the mean of its divisors is an integer number (5626335).

Almost surely, 2^36066125 is an apocalyptic number.

It is an amenable number.

36066125 is a deficient number, since it is larger than the sum of its proper divisors (8944555).

36066125 is an equidigital number, since it uses as much as digits as its factorization.

36066125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288544 (or 288534 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 36066125 is about 6005.5078885969. The cubic root of 36066125 is about 330.3947678459.

The spelling of 36066125 in words is "thirty-six million, sixty-six thousand, one hundred twenty-five".