47727125554561 has 2 divisors, whose sum is σ = 47727125554562. Its totient is φ = 47727125554560.

The previous prime is 47727125554463. The next prime is 47727125554609. The reversal of 47727125554561 is 16545552172774.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34984681596225 + 12742443958336 = 5914785^2 + 3569656^2 .

It is a cyclic number.

It is not a de Polignac number, because 47727125554561 - 2⁹ = 47727125554049 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 47727125554561.

It is not a weakly prime, because it can be changed into another prime (47727125554061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23863562777280 + 23863562777281.

It is an arithmetic number, because the mean of its divisors is an integer number (23863562777281).

Almost surely, 2^{47727125554561} is an apocalyptic number.

It is an amenable number.

47727125554561 is a deficient number, since it is larger than the sum of its proper divisors (1).

47727125554561 is an equidigital number, since it uses as much as digits as its factorization.

47727125554561 is an evil number, because the sum of its binary digits is even.

The product of its digits is 82320000, while the sum is 61.

The spelling of 47727125554561 in words is "forty-seven trillion, seven hundred twenty-seven billion, one hundred twenty-five million, five hundred fifty-four thousand, five hundred sixty-one".