2968263808225 has 27 divisors (see below), whose sum is σ = 3910084489227. Its totient is φ = 2234817780480.

The previous prime is 2968263808199. The next prime is 2968263808229. The reversal of 2968263808225 is 5228083628692.

The square root of 2968263808225 is 1722865.

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

2968263808225 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 13 ways, for example, as 336159922849 + 2632103885376 = 579793^2 + 1622376^2 .

It is not a de Polignac number, because 2968263808225 - 2²¹ = 2968261711073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2968263808229) 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, 146433391 + ... + 146453659.

Almost surely, 2^{2968263808225} is an apocalyptic number.

2968263808225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2968263808225 is the 1722865-th square number.

2968263808225 is the 861433-rd centered octagonal number.

It is an amenable number.

2968263808225 is a deficient number, since it is larger than the sum of its proper divisors (941820681002).

2968263808225 is an frugal number, since it uses more digits than its factorization.

2968263808225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40582 (or 20291 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 61.

The spelling of 2968263808225 in words is "two trillion, nine hundred sixty-eight billion, two hundred sixty-three million, eight hundred eight thousand, two hundred twenty-five".