54038129 has 2 divisors, whose sum is σ = 54038130. Its totient is φ = 54038128.

The previous prime is 54038099. The next prime is 54038141. The reversal of 54038129 is 92183045.

54038129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52417600 + 1620529 = 7240^2 + 1273^2 .

It is a cyclic number.

It is not a de Polignac number, because 54038129 - 2⁸ = 54037873 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54038095 and 54038104.

It is not a weakly prime, because it can be changed into another prime (54038329) 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, 27019064 + 27019065.

It is an arithmetic number, because the mean of its divisors is an integer number (27019065).

Almost surely, 2^54038129 is an apocalyptic number.

It is an amenable number.

54038129 is a deficient number, since it is larger than the sum of its proper divisors (1).

54038129 is an equidigital number, since it uses as much as digits as its factorization.

54038129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 54038129 is about 7351.0631203929. The cubic root of 54038129 is about 378.0652561302.

The spelling of 54038129 in words is "fifty-four million, thirty-eight thousand, one hundred twenty-nine".