6782821228225 has 27 divisors (see below), whose sum is σ = 9784005045411. Its totient is φ = 4651014908400.

The previous prime is 6782821228201. The next prime is 6782821228229. The reversal of 6782821228225 is 5228221282876.

The square root of 6782821228225 is 2604385.

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., 2441815642161 + 4341005586064 = 1562631^2 + 2083508^2 .

It is not a de Polignac number, because 6782821228225 - 2¹⁷ = 6782821097153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6782821228229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 91116270 + ... + 91190680.

Almost surely, 2^{6782821228225} is an apocalyptic number.

6782821228225 is the 2604385-th square number.

6782821228225 is the 1302193-rd centered octagonal number.

It is an amenable number.

6782821228225 is a deficient number, since it is larger than the sum of its proper divisors (3001183817186).

6782821228225 is an frugal number, since it uses more digits than its factorization.

6782821228225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148846 (or 74423 counting only the distinct ones).

The product of its digits is 6881280, while the sum is 55.

The spelling of 6782821228225 in words is "six trillion, seven hundred eighty-two billion, eight hundred twenty-one million, two hundred twenty-eight thousand, two hundred twenty-five".