2558948033 has 2 divisors, whose sum is σ = 2558948034. Its totient is φ = 2558948032.

The previous prime is 2558948027. The next prime is 2558948071. The reversal of 2558948033 is 3308498552.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2557021489 + 1926544 = 50567^2 + 1388^2 .

It is a cyclic number.

It is not a de Polignac number, because 2558948033 - 2¹⁶ = 2558882497 is a prime.

It is not a weakly prime, because it can be changed into another prime (2558948003) 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, 1279474016 + 1279474017.

It is an arithmetic number, because the mean of its divisors is an integer number (1279474017).

Almost surely, 2^2558948033 is an apocalyptic number.

It is an amenable number.

2558948033 is a deficient number, since it is larger than the sum of its proper divisors (1).

2558948033 is an equidigital number, since it uses as much as digits as its factorization.

2558948033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1036800, while the sum is 47.

The square root of 2558948033 is about 50586.0458328184. The cubic root of 2558948033 is about 1367.7933526832.

The spelling of 2558948033 in words is "two billion, five hundred fifty-eight million, nine hundred forty-eight thousand, thirty-three".