2221634965225 has 81 divisors (see below), whose sum is σ = 3121505115183. Its totient is φ = 1567687904640.

The previous prime is 2221634965211. The next prime is 2221634965229. The reversal of 2221634965225 is 5225694361222.

The square root of 2221634965225 is 1490515.

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 1395259426521 + 826375538704 = 1181211^2 + 909052^2 .

It is not a de Polignac number, because 2221634965225 - 2⁷ = 2221634965097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2221634965229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2228319427 + ... + 2228320423.

Almost surely, 2^{2221634965225} is an apocalyptic number.

2221634965225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2221634965225 is the 1490515-th square number.

2221634965225 is the 745258-th centered octagonal number.

It is an amenable number.

2221634965225 is a deficient number, since it is larger than the sum of its proper divisors (899870149958).

2221634965225 is an frugal number, since it uses more digits than its factorization.

2221634965225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076 (or 1038 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 49.

Multiplying 2221634965225 by its sum of digits (49), we get a square (108860113296025 = 10433605²).

The spelling of 2221634965225 in words is "two trillion, two hundred twenty-one billion, six hundred thirty-four million, nine hundred sixty-five thousand, two hundred twenty-five".