320735332225 has 81 divisors (see below), whose sum is σ = 508872373443. Its totient is φ = 199802988000.

The previous prime is 320735332223. The next prime is 320735332231. The reversal of 320735332225 is 522233537023.

The square root of 320735332225 is 566335.

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

It can be written as a sum of positive squares in only one way, i.e., 115464719601 + 205270612624 = 339801^2 + 453068^2 .

It is not a de Polignac number, because 320735332225 - 2¹ = 320735332223 is a prime.

It is a super-2 number, since 2×320735332225² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (320735332223) 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, 218038240 + ... + 218039710.

Almost surely, 2^320735332225 is an apocalyptic number.

320735332225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

320735332225 is the 566335-th square number.

320735332225 is the 283168-th centered octagonal number.

It is an amenable number.

320735332225 is a deficient number, since it is larger than the sum of its proper divisors (188137041218).

320735332225 is an equidigital number, since it uses as much as digits as its factorization.

320735332225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2988 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 37.

Adding to 320735332225 its reverse (522233537023), we get a palindrome (842968869248).

The spelling of 320735332225 in words is "three hundred twenty billion, seven hundred thirty-five million, three hundred thirty-two thousand, two hundred twenty-five".