54106589 has 2 divisors, whose sum is σ = 54106590. Its totient is φ = 54106588.

The previous prime is 54106553. The next prime is 54106607. The reversal of 54106589 is 98560145.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52678564 + 1428025 = 7258^2 + 1195^2 .

It is a cyclic number.

It is not a de Polignac number, because 54106589 - 2⁸ = 54106333 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a plaindrome in base 16.

It is a zygodrome in base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (54100589) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27053294 + 27053295.

It is an arithmetic number, because the mean of its divisors is an integer number (27053295).

Almost surely, 2^54106589 is an apocalyptic number.

It is an amenable number.

54106589 is a deficient number, since it is larger than the sum of its proper divisors (1).

54106589 is an equidigital number, since it uses as much as digits as its factorization.

54106589 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 43200, while the sum is 38.

The square root of 54106589 is about 7355.7181158606. The cubic root of 54106589 is about 378.2248436020.

The spelling of 54106589 in words is "fifty-four million, one hundred six thousand, five hundred eighty-nine".