36309000233025 has 135 divisors (see below), whose sum is σ = 70482370292061. Its totient is φ = 17867680047360.

The previous prime is 36309000232991. The next prime is 36309000233027. The reversal of 36309000233025 is 52033200090363.

The square root of 36309000233025 is 6025695.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 9677331727281 + 26631668505744 = 3110841^2 + 5160588^2 .

It is not a de Polignac number, because 36309000233025 - 2⁴⁵ = 1124628144193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (36309000233027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 15275135637 + ... + 15275138013.

Almost surely, 2^{36309000233025} is an apocalyptic number.

36309000233025 is the 6025695-th square number.

36309000233025 is the 3012848-th centered octagonal number.

It is an amenable number.

36309000233025 is a deficient number, since it is larger than the sum of its proper divisors (34173370059036).

36309000233025 is an frugal number, since it uses more digits than its factorization.

36309000233025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4822 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 36.

It can be divided in two parts, 36309000 and 233025, that added together give a square (36542025 = 6045²).

The spelling of 36309000233025 in words is "thirty-six trillion, three hundred nine billion, two hundred thirty-three thousand, twenty-five".