127728613 has 2 divisors, whose sum is σ = 127728614. Its totient is φ = 127728612.

The previous prime is 127728607. The next prime is 127728641. The reversal of 127728613 is 316827721.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 126742564 + 986049 = 11258^2 + 993^2 .

It is a cyclic number.

It is not a de Polignac number, because 127728613 - 2⁵ = 127728581 is a prime.

It is equal to p_7256458 and since 127728613 and 7256458 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (127728413) 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, 63864306 + 63864307.

It is an arithmetic number, because the mean of its divisors is an integer number (63864307).

Almost surely, 2^127728613 is an apocalyptic number.

It is an amenable number.

127728613 is a deficient number, since it is larger than the sum of its proper divisors (1).

127728613 is an equidigital number, since it uses as much as digits as its factorization.

127728613 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 28224, while the sum is 37.

The square root of 127728613 is about 11301.7084106784. The cubic root of 127728613 is about 503.6119948216.

It can be divided in two parts, 1277 and 28613, that added together give a triangular number (29890 = T₂₄₄).

The spelling of 127728613 in words is "one hundred twenty-seven million, seven hundred twenty-eight thousand, six hundred thirteen".