87585871533 has 32 divisors (see below), whose sum is σ = 122642657280. Its totient is φ = 55493665920.

The previous prime is 87585871517. The next prime is 87585871559. The reversal of 87585871533 is 33517858578.

It is not a de Polignac number, because 87585871533 - 2⁴ = 87585871517 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87585871033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6954360 + ... + 6966942.

It is an arithmetic number, because the mean of its divisors is an integer number (3832583040).

Almost surely, 2^87585871533 is an apocalyptic number.

It is an amenable number.

87585871533 is a deficient number, since it is larger than the sum of its proper divisors (35056785747).

87585871533 is a wasteful number, since it uses less digits than its factorization.

87585871533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13249.

The product of its digits is 28224000, while the sum is 60.

The spelling of 87585871533 in words is "eighty-seven billion, five hundred eighty-five million, eight hundred seventy-one thousand, five hundred thirty-three".