127375205413429 has 2 divisors, whose sum is σ = 127375205413430. Its totient is φ = 127375205413428.

The previous prime is 127375205413427. The next prime is 127375205413441. The reversal of 127375205413429 is 924314502573721.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88562591992900 + 38812613420529 = 9410770^2 + 6229977^2 .

It is a cyclic number.

It is not a de Polignac number, because 127375205413429 - 2¹ = 127375205413427 is a prime.

It is a super-2 number, since 2×127375205413429² (a number of 29 digits) contains 22 as substring.

Together with 127375205413427, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 127375205413429.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (127375205413427) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63687602706714 + 63687602706715.

It is an arithmetic number, because the mean of its divisors is an integer number (63687602706715).

Almost surely, 2^{127375205413429} is an apocalyptic number.

It is an amenable number.

127375205413429 is a deficient number, since it is larger than the sum of its proper divisors (1).

127375205413429 is an equidigital number, since it uses as much as digits as its factorization.

127375205413429 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12700800, while the sum is 55.

The spelling of 127375205413429 in words is "one hundred twenty-seven trillion, three hundred seventy-five billion, two hundred five million, four hundred thirteen thousand, four hundred twenty-nine".