506541589 has 2 divisors, whose sum is σ = 506541590. Its totient is φ = 506541588.

The previous prime is 506541557. The next prime is 506541599. The reversal of 506541589 is 985145605.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 506475025 + 66564 = 22505^2 + 258^2 .

It is a cyclic number.

It is not a de Polignac number, because 506541589 - 2⁵ = 506541557 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (506541509) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253270794 + 253270795.

It is an arithmetic number, because the mean of its divisors is an integer number (253270795).

Almost surely, 2^506541589 is an apocalyptic number.

It is an amenable number.

506541589 is a deficient number, since it is larger than the sum of its proper divisors (1).

506541589 is an equidigital number, since it uses as much as digits as its factorization.

506541589 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216000, while the sum is 43.

The square root of 506541589 is about 22506.4788227746. The cubic root of 506541589 is about 797.1469145797.

The spelling of 506541589 in words is "five hundred six million, five hundred forty-one thousand, five hundred eighty-nine".