663320025 has 81 divisors (see below), whose sum is σ = 1274697463. Its totient is φ = 329664000.

The previous prime is 663320003. The next prime is 663320027. The reversal of 663320025 is 520023366.

The square root of 663320025 is 25755.

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

663320025 is a `hidden beast` number, since 6 + 633 + 2 + 0 + 0 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 1390041 + 661929984 = 1179^2 + 25728^2 .

It is not a de Polignac number, because 663320025 - 2¹³ = 663311833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (663320027) 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 80 ways as a sum of consecutive naturals, for example, 6567475 + ... + 6567575.

Almost surely, 2^663320025 is an apocalyptic number.

663320025 is the 25755-th square number.

663320025 is the 12878-th centered octagonal number.

It is an amenable number.

663320025 is a deficient number, since it is larger than the sum of its proper divisors (611377438).

663320025 is a wasteful number, since it uses less digits than its factorization.

663320025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The cubic root of 663320025 is about 872.1162314729.

The spelling of 663320025 in words is "six hundred sixty-three million, three hundred twenty thousand, twenty-five".