2904825966025 has 27 divisors (see below), whose sum is σ = 3654192038709. Its totient is φ = 2290653120000.

The previous prime is 2904825965953. The next prime is 2904825966043. The reversal of 2904825966025 is 5206695284092.

It is a happy number.

The square root of 2904825966025 is 1704355.

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

2904825966025 is digitally balanced in base 2 and base 3, because in such bases 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 11846798649 + 2892979167376 = 108843^2 + 1700876^2 .

It is not a de Polignac number, because 2904825966025 - 2²⁵ = 2904792411593 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 605043625 + ... + 605048425.

Almost surely, 2^{2904825966025} is an apocalyptic number.

2904825966025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2904825966025 is the 1704355-th square number.

2904825966025 is the 852178-th centered octagonal number.

It is an amenable number.

2904825966025 is a deficient number, since it is larger than the sum of its proper divisors (749366072684).

2904825966025 is an frugal number, since it uses more digits than its factorization.

2904825966025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9754 (or 4877 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 58.

The spelling of 2904825966025 in words is "two trillion, nine hundred four billion, eight hundred twenty-five million, nine hundred sixty-six thousand, twenty-five".