582145318002085 has 16 divisors (see below), whose sum is σ = 700153225367040. Its totient is φ = 464664026457280.

The previous prime is 582145318001999. The next prime is 582145318002113. The reversal of 582145318002085 is 580200813541285.

It is a happy number.

It is not a de Polignac number, because 582145318002085 - 2²³ = 582145309613477 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6985051 + ... + 34829320.

It is an arithmetic number, because the mean of its divisors is an integer number (43759576585440).

Almost surely, 2^{582145318002085} is an apocalyptic number.

It is an amenable number.

582145318002085 is a deficient number, since it is larger than the sum of its proper divisors (118007907364955).

582145318002085 is a wasteful number, since it uses less digits than its factorization.

582145318002085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41820668.

The product of its (nonzero) digits is 3072000, while the sum is 52.

The spelling of 582145318002085 in words is "five hundred eighty-two trillion, one hundred forty-five billion, three hundred eighteen million, two thousand, eighty-five".