127705013 has 2 divisors, whose sum is σ = 127705014. Its totient is φ = 127705012.

The previous prime is 127704991. The next prime is 127705031. The reversal of 127705013 is 310507721.

Together with next prime (127705031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102373924 + 25331089 = 10118^2 + 5033^2 .

It is an emirp because it is prime and its reverse (310507721) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 127705013 - 2¹² = 127700917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (127702013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63852506 + 63852507.

It is an arithmetic number, because the mean of its divisors is an integer number (63852507).

Almost surely, 2^127705013 is an apocalyptic number.

It is an amenable number.

127705013 is a deficient number, since it is larger than the sum of its proper divisors (1).

127705013 is an equidigital number, since it uses as much as digits as its factorization.

127705013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1470, while the sum is 26.

The square root of 127705013 is about 11300.6642725107. The cubic root of 127705013 is about 503.5809759949.

The spelling of 127705013 in words is "one hundred twenty-seven million, seven hundred five thousand, thirteen".