6221956528225 has 27 divisors (see below), whose sum is σ = 7747481213451. Its totient is φ = 4956841872000.

The previous prime is 6221956528217. The next prime is 6221956528241. The reversal of 6221956528225 is 5228256591226.

It is a happy number.

The square root of 6221956528225 is 2494385.

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 6116555009889 + 105401518336 = 2473167^2 + 324656^2 .

It is not a de Polignac number, because 6221956528225 - 2³ = 6221956528217 is a prime.

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 3454722325 + ... + 3454724125.

Almost surely, 2^{6221956528225} is an apocalyptic number.

6221956528225 is the 2494385-th square number.

6221956528225 is the 1247193-rd centered octagonal number.

It is an amenable number.

6221956528225 is a deficient number, since it is larger than the sum of its proper divisors (1525524685226).

6221956528225 is an frugal number, since it uses more digits than its factorization.

6221956528225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4166 (or 2083 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 55.

The spelling of 6221956528225 in words is "six trillion, two hundred twenty-one billion, nine hundred fifty-six million, five hundred twenty-eight thousand, two hundred twenty-five".