54007567 has 2 divisors, whose sum is σ = 54007568. Its totient is φ = 54007566.

The previous prime is 54007553. The next prime is 54007571. The reversal of 54007567 is 76570045.

54007567 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 is a cyclic number.

It is not a de Polignac number, because 54007567 - 2⁷ = 54007439 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (54007507) 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, 27003783 + 27003784.

It is an arithmetic number, because the mean of its divisors is an integer number (27003784).

Almost surely, 2^54007567 is an apocalyptic number.

54007567 is a deficient number, since it is larger than the sum of its proper divisors (1).

54007567 is an equidigital number, since it uses as much as digits as its factorization.

54007567 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29400, while the sum is 34.

The square root of 54007567 is about 7348.9840794493. The cubic root of 54007567 is about 377.9939693709.

The spelling of 54007567 in words is "fifty-four million, seven thousand, five hundred sixty-seven".