2966644536025 has 9 divisors (see below), whose sum is σ = 3678649903551. Its totient is φ = 2373308739240.

The previous prime is 2966644536007. The next prime is 2966644536029. The reversal of 2966644536025 is 5206354466692.

The square root of 2966644536025 is 1722395.

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., 1067992032969 + 1898652503056 = 1033437^2 + 1377916^2 .

It is not a de Polignac number, because 2966644536025 - 2¹⁵ = 2966644503257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2966644536029) by changing a digit.

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, 8439736 + ... + 8784214.

Almost surely, 2^{2966644536025} is an apocalyptic number.

2966644536025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2966644536025 is the 1722395-th square number.

2966644536025 is the 861198-th centered octagonal number.

It is an amenable number.

2966644536025 is a deficient number, since it is larger than the sum of its proper divisors (712005367526).

2966644536025 is an frugal number, since it uses more digits than its factorization.

2966644536025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688968 (or 344484 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 58.

The spelling of 2966644536025 in words is "two trillion, nine hundred sixty-six billion, six hundred forty-four million, five hundred thirty-six thousand, twenty-five".