4807548961 has 2 divisors, whose sum is σ = 4807548962. Its totient is φ = 4807548960.

The previous prime is 4807548923. The next prime is 4807548989. The reversal of 4807548961 is 1698457084.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3841520400 + 966028561 = 61980^2 + 31081^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4807548961 is a prime.

It is a super-3 number, since 3×4807548961³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 4807548899 and 4807548908.

It is not a weakly prime, because it can be changed into another prime (4807548061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2403774480 + 2403774481.

It is an arithmetic number, because the mean of its divisors is an integer number (2403774481).

Almost surely, 2^4807548961 is an apocalyptic number.

It is an amenable number.

4807548961 is a deficient number, since it is larger than the sum of its proper divisors (1).

4807548961 is an equidigital number, since it uses as much as digits as its factorization.

4807548961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1935360, while the sum is 52.

The square root of 4807548961 is about 69336.4908327498. The cubic root of 4807548961 is about 1687.7491785750.

The spelling of 4807548961 in words is "four billion, eight hundred seven million, five hundred forty-eight thousand, nine hundred sixty-one".