320961906225 has 81 divisors (see below), whose sum is σ = 580860823179. Its totient is φ = 169416626400.

The previous prime is 320961906149. The next prime is 320961906281. The reversal of 320961906225 is 522609169023.

The square root of 320961906225 is 566535.

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

320961906225 is a `hidden beast` number, since 3 + 2 + 0 + 9 + 6 + 19 + 0 + 622 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 115546286241 + 205415619984 = 339921^2 + 453228^2 .

It is a de Polignac number, because none of the positive numbers 2^k-320961906225 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 80 ways as a sum of consecutive naturals, for example, 1521146370 + ... + 1521146580.

Almost surely, 2^320961906225 is an apocalyptic number.

320961906225 is the 566535-th square number.

320961906225 is the 283268-th centered octagonal number.

It is an amenable number.

320961906225 is a deficient number, since it is larger than the sum of its proper divisors (259898916954).

320961906225 is an equidigital number, since it uses as much as digits as its factorization.

320961906225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 320961906225 in words is "three hundred twenty billion, nine hundred sixty-one million, nine hundred six thousand, two hundred twenty-five".