47175761448601 has 2 divisors, whose sum is σ = 47175761448602. Its totient is φ = 47175761448600.

The previous prime is 47175761448499. The next prime is 47175761448631. The reversal of 47175761448601 is 10684416757174.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 46079659240000 + 1096102208601 = 6788200^2 + 1046949^2 .

It is a cyclic number.

It is not a de Polignac number, because 47175761448601 - 2²⁷ = 47175627230873 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 47175761448601.

It is not a weakly prime, because it can be changed into another prime (47175761448631) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23587880724300 + 23587880724301.

It is an arithmetic number, because the mean of its divisors is an integer number (23587880724301).

Almost surely, 2^{47175761448601} is an apocalyptic number.

It is an amenable number.

47175761448601 is a deficient number, since it is larger than the sum of its proper divisors (1).

47175761448601 is an equidigital number, since it uses as much as digits as its factorization.

47175761448601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31610880, while the sum is 61.

The spelling of 47175761448601 in words is "forty-seven trillion, one hundred seventy-five billion, seven hundred sixty-one million, four hundred forty-eight thousand, six hundred one".