2966713432225 has 9 divisors (see below), whose sum is σ = 3678735334963. Its totient is φ = 2373363856120.

The previous prime is 2966713432201. The next prime is 2966713432271. The reversal of 2966713432225 is 5222343176692.

The square root of 2966713432225 is 1722415.

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., 1068016835601 + 1898696596624 = 1033449^2 + 1377932^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2966713432225 is a prime.

It is a super-3 number, since 3×2966713432225³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 8439834 + ... + 8784316.

Almost surely, 2^{2966713432225} is an apocalyptic number.

2966713432225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2966713432225 is the 1722415-th square number.

2966713432225 is the 861208-th centered octagonal number.

It is an amenable number.

2966713432225 is a deficient number, since it is larger than the sum of its proper divisors (712021902738).

2966713432225 is an frugal number, since it uses more digits than its factorization.

2966713432225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688976 (or 344488 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 52.

The spelling of 2966713432225 in words is "two trillion, nine hundred sixty-six billion, seven hundred thirteen million, four hundred thirty-two thousand, two hundred twenty-five".