87505888093 has 16 divisors (see below), whose sum is σ = 97776085680. Its totient is φ = 77757797376.

The previous prime is 87505888091. The next prime is 87505888123. The reversal of 87505888093 is 39088850578.

It can be written as a sum of positive squares in 8 ways, for example, as 26988904089 + 60516984004 = 164283^2 + 246002^2 .

It is a cyclic number.

It is not a de Polignac number, because 87505888093 - 2¹ = 87505888091 is a prime.

It is a super-3 number, since 3×87505888093³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87505888091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217330 + ... + 471427.

It is an arithmetic number, because the mean of its divisors is an integer number (6111005355).

Almost surely, 2^87505888093 is an apocalyptic number.

It is an amenable number.

87505888093 is a deficient number, since it is larger than the sum of its proper divisors (10270197587).

87505888093 is a wasteful number, since it uses less digits than its factorization.

87505888093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689136.

The product of its (nonzero) digits is 19353600, while the sum is 61.

The spelling of 87505888093 in words is "eighty-seven billion, five hundred five million, eight hundred eighty-eight thousand, ninety-three".