212582669446225 has 81 divisors (see below), whose sum is σ = 292624630966227. Its totient is φ = 153127250016000.

The previous prime is 212582669446207. The next prime is 212582669446241. The reversal of 212582669446225 is 522644966285212.

It is a happy number.

The square root of 212582669446225 is 14580215.

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 192652373525329 + 19930295920896 = 13879927^2 + 4464336^2 .

It is not a de Polignac number, because 212582669446225 - 2³⁷ = 212445230492753 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 38856270240 + ... + 38856275710.

Almost surely, 2^{212582669446225} is an apocalyptic number.

212582669446225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

212582669446225 is the 14580215-th square number.

212582669446225 is the 7290108-th centered octagonal number.

It is an amenable number.

212582669446225 is a deficient number, since it is larger than the sum of its proper divisors (80041961520002).

212582669446225 is an frugal number, since it uses more digits than its factorization.

212582669446225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11060 (or 5530 counting only the distinct ones).

The product of its digits is 199065600, while the sum is 64.

The spelling of 212582669446225 in words is "two hundred twelve trillion, five hundred eighty-two billion, six hundred sixty-nine million, four hundred forty-six thousand, two hundred twenty-five".