87617568381 has 16 divisors (see below), whose sum is σ = 133548048384. Its totient is φ = 50053845744.

The previous prime is 87617568289. The next prime is 87617568403. The reversal of 87617568381 is 18386571678.

It is not a de Polignac number, because 87617568381 - 2¹⁴ = 87617551997 is a prime.

It is a super-3 number, since 3×87617568381³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87617568481) by changing a digit.

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, 474685 + ... + 632898.

It is an arithmetic number, because the mean of its divisors is an integer number (8346753024).

Almost surely, 2^87617568381 is an apocalyptic number.

It is an amenable number.

87617568381 is a deficient number, since it is larger than the sum of its proper divisors (45930480003).

87617568381 is a wasteful number, since it uses less digits than its factorization.

87617568381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111360.

The product of its digits is 13547520, while the sum is 60.

The spelling of 87617568381 in words is "eighty-seven billion, six hundred seventeen million, five hundred sixty-eight thousand, three hundred eighty-one".