4752574506241 has 2 divisors, whose sum is σ = 4752574506242. Its totient is φ = 4752574506240.

The previous prime is 4752574506221. The next prime is 4752574506257. The reversal of 4752574506241 is 1426054752574.

4752574506241 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3888306790641 + 864267715600 = 1971879^2 + 929660^2 .

It is a cyclic number.

It is not a de Polignac number, because 4752574506241 - 2²¹ = 4752572409089 is a prime.

It is not a weakly prime, because it can be changed into another prime (4752574506221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2376287253120 + 2376287253121.

It is an arithmetic number, because the mean of its divisors is an integer number (2376287253121).

Almost surely, 2^{4752574506241} is an apocalyptic number.

It is an amenable number.

4752574506241 is a deficient number, since it is larger than the sum of its proper divisors (1).

4752574506241 is an equidigital number, since it uses as much as digits as its factorization.

4752574506241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9408000, while the sum is 52.

The spelling of 4752574506241 in words is "four trillion, seven hundred fifty-two billion, five hundred seventy-four million, five hundred six thousand, two hundred forty-one".