127306513 has 2 divisors, whose sum is σ = 127306514. Its totient is φ = 127306512.

The previous prime is 127306511. The next prime is 127306537. The reversal of 127306513 is 315603721.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105329169 + 21977344 = 10263^2 + 4688^2 .

It is a cyclic number.

It is not a de Polignac number, because 127306513 - 2¹ = 127306511 is a prime.

Together with 127306511, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (127306511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63653256 + 63653257.

It is an arithmetic number, because the mean of its divisors is an integer number (63653257).

Almost surely, 2^127306513 is an apocalyptic number.

It is an amenable number.

127306513 is a deficient number, since it is larger than the sum of its proper divisors (1).

127306513 is an equidigital number, since it uses as much as digits as its factorization.

127306513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 127306513 is about 11283.0187893134. The cubic root of 127306513 is about 503.0566266564.

The spelling of 127306513 in words is "one hundred twenty-seven million, three hundred six thousand, five hundred thirteen".