390793768225 has 81 divisors (see below), whose sum is σ = 576246514347. Its totient is φ = 262136609280.

The previous prime is 390793768219. The next prime is 390793768271. The reversal of 390793768225 is 522867397093.

The square root of 390793768225 is 625135.

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

It can be written as a sum of positive squares in 13 ways, for example, as 254065394401 + 136728373824 = 504049^2 + 369768^2 .

It is not a de Polignac number, because 390793768225 - 2⁵ = 390793768193 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1159625257 + ... + 1159625593.

Almost surely, 2^390793768225 is an apocalyptic number.

390793768225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

390793768225 is the 625135-th square number.

390793768225 is the 312568-th centered octagonal number.

It is an amenable number.

390793768225 is a deficient number, since it is larger than the sum of its proper divisors (185452746122).

390793768225 is an frugal number, since it uses more digits than its factorization.

390793768225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 61.

The spelling of 390793768225 in words is "three hundred ninety billion, seven hundred ninety-three million, seven hundred sixty-eight thousand, two hundred twenty-five".