4730825961 has 27 divisors (see below), whose sum is σ = 6932280823. Its totient is φ = 3108901200.

The previous prime is 4730825881. The next prime is 4730825963. The reversal of 4730825961 is 1695280374.

The square root of 4730825961 is 68781.

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

4730825961 is digitally balanced in base 3 and base 10, 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 only one way, i.e., 4545321561 + 185504400 = 67419^2 + 13620^2 .

It is not a de Polignac number, because 4730825961 - 2²⁵ = 4697271529 is a prime.

It is a Duffinian number.

4730825961 is strictly pandigital in base 10.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4730825963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20840530 + ... + 20840756.

It is a 1-persistent number, because it is pandigital, but 2⋅4730825961 = 9461651922 is not.

Almost surely, 2^4730825961 is an apocalyptic number.

4730825961 is the 68781-st square number.

4730825961 is the 34391-st centered octagonal number.

It is an amenable number.

4730825961 is a deficient number, since it is larger than the sum of its proper divisors (2201454862).

4730825961 is an equidigital number, since it uses as much as digits as its factorization.

4730825961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The cubic root of 4730825961 is about 1678.7228058520.

The spelling of 4730825961 in words is "four billion, seven hundred thirty million, eight hundred twenty-five thousand, nine hundred sixty-one".