127581652017713 has 2 divisors, whose sum is σ = 127581652017714. Its totient is φ = 127581652017712.

The previous prime is 127581652017623. The next prime is 127581652017727. The reversal of 127581652017713 is 317710256185721.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78366614610064 + 49215037407649 = 8852492^2 + 7015343^2 .

It is a cyclic number.

It is not a de Polignac number, because 127581652017713 - 2⁴⁰ = 126482140389937 is a prime.

It is not a weakly prime, because it can be changed into another prime (127581652010713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63790826008856 + 63790826008857.

It is an arithmetic number, because the mean of its divisors is an integer number (63790826008857).

Almost surely, 2^{127581652017713} is an apocalyptic number.

It is an amenable number.

127581652017713 is a deficient number, since it is larger than the sum of its proper divisors (1).

127581652017713 is an equidigital number, since it uses as much as digits as its factorization.

127581652017713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4939200, while the sum is 56.

The spelling of 127581652017713 in words is "one hundred twenty-seven trillion, five hundred eighty-one billion, six hundred fifty-two million, seventeen thousand, seven hundred thirteen".