363066225 has 48 divisors (see below), whose sum is σ = 629126400. Its totient is φ = 184504320.

The previous prime is 363066217. The next prime is 363066241. The reversal of 363066225 is 522660363.

It is not a de Polignac number, because 363066225 - 2³ = 363066217 is a prime.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 170769 + ... + 172881.

It is an arithmetic number, because the mean of its divisors is an integer number (13106800).

Almost surely, 2^363066225 is an apocalyptic number.

It is an amenable number.

363066225 is a deficient number, since it is larger than the sum of its proper divisors (266060175).

363066225 is a wasteful number, since it uses less digits than its factorization.

363066225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234 (or 2229 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 33.

The square root of 363066225 is about 19054.2967595238. The cubic root of 363066225 is about 713.3926270090.

The spelling of 363066225 in words is "three hundred sixty-three million, sixty-six thousand, two hundred twenty-five".