2212968636025 has 81 divisors (see below), whose sum is σ = 3370448365389. Its totient is φ = 1436955024960.

The previous prime is 2212968635957. The next prime is 2212968636083. The reversal of 2212968636025 is 5206368692122.

The square root of 2212968636025 is 1487605.

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

It can be written as a sum of positive squares in 4 ways, for example, as 66368579641 + 2146600056384 = 257621^2 + 1465128^2 .

It is not a de Polignac number, because 2212968636025 - 2¹⁷ = 2212968504953 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 989256207 + ... + 989258443.

Almost surely, 2^{2212968636025} is an apocalyptic number.

2212968636025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2212968636025 is the 1487605-th square number.

2212968636025 is the 743803-rd centered octagonal number.

It is an amenable number.

2212968636025 is a deficient number, since it is larger than the sum of its proper divisors (1157479729364).

2212968636025 is an frugal number, since it uses more digits than its factorization.

2212968636025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4536 (or 2268 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 52.

The spelling of 2212968636025 in words is "two trillion, two hundred twelve billion, nine hundred sixty-eight million, six hundred thirty-six thousand, twenty-five".