13882500528831 has 32 divisors (see below), whose sum is σ = 22436618903040. Its totient is φ = 8413541280000.

The previous prime is 13882500528791. The next prime is 13882500528851.

13882500528831 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 2 + 500 + 52 + 8 + 83 + 1 = 666.

13882500528831 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13882500528831 - 2²² = 13882496334527 is a prime.

It is a super-2 number, since 2×13882500528831² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13882500528851) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32980911 + ... + 33399183.

It is an arithmetic number, because the mean of its divisors is an integer number (701144340720).

Almost surely, 2^{13882500528831} is an apocalyptic number.

13882500528831 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13882500528831 is a deficient number, since it is larger than the sum of its proper divisors (8554118374209).

13882500528831 is a wasteful number, since it uses less digits than its factorization.

13882500528831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530044 (or 530038 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 13882500528831 in words is "thirteen trillion, eight hundred eighty-two billion, five hundred million, five hundred twenty-eight thousand, eight hundred thirty-one".