2966989025025 has 27 divisors (see below), whose sum is σ = 5314253287369. Its totient is φ = 1582380366720.

The previous prime is 2966989024963. The next prime is 2966989025029. The reversal of 2966989025025 is 5205209896692.

The square root of 2966989025025 is 1722495.

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

2966989025025 is a `hidden beast` number, since 296 + 6 + 9 + 8 + 90 + 250 + 2 + 5 = 666.

2966989025025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1717753618161 + 1249235406864 = 1310631^2 + 1117692^2 .

It is not a de Polignac number, because 2966989025025 - 2⁹ = 2966989024513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2966989025029) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25780009 + ... + 25894841.

Almost surely, 2^{2966989025025} is an apocalyptic number.

2966989025025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2966989025025 is the 1722495-th square number.

2966989025025 is the 861248-th centered octagonal number.

It is an amenable number.

2966989025025 is a deficient number, since it is larger than the sum of its proper divisors (2347264262344).

2966989025025 is an frugal number, since it uses more digits than its factorization.

2966989025025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229682 (or 114841 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 2966989025025 in words is "two trillion, nine hundred sixty-six billion, nine hundred eighty-nine million, twenty-five thousand, twenty-five".