363361812025 has 27 divisors (see below), whose sum is σ = 465691719213. Its totient is φ = 281240035200.

The previous prime is 363361811999. The next prime is 363361812067. The reversal of 363361812025 is 520218163363.

The square root of 363361812025 is 602795.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3020931369 + 360340880656 = 54963^2 + 600284^2 .

It is not a de Polignac number, because 363361812025 - 2⁵ = 363361811993 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 93431281 + ... + 93435169.

Almost surely, 2^363361812025 is an apocalyptic number.

363361812025 is the 602795-th square number.

363361812025 is the 301398-th centered octagonal number.

It is an amenable number.

363361812025 is a deficient number, since it is larger than the sum of its proper divisors (102329907188).

363361812025 is an frugal number, since it uses more digits than its factorization.

363361812025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7850 (or 3925 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

Adding to 363361812025 its reverse (520218163363), we get a palindrome (883579975388).

The spelling of 363361812025 in words is "three hundred sixty-three billion, three hundred sixty-one million, eight hundred twelve thousand, twenty-five".