21513573882 has 96 divisors (see below), whose sum is σ = 50217030864. Its totient is φ = 6632448000.

The previous prime is 21513573869. The next prime is 21513573901. The reversal of 21513573882 is 28837531512.

21513573882 is a `hidden beast` number, since 2 + 1 + 513 + 57 + 3 + 8 + 82 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 16499659401 + 5013914481 = 128451^2 + 70809^2 .

It is a super-2 number, since 2×21513573882² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4231582 + ... + 4236662.

Almost surely, 2^21513573882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21513573882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25108515432).

21513573882 is an abundant number, since it is smaller than the sum of its proper divisors (28703456982).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21513573882 is a wasteful number, since it uses less digits than its factorization.

21513573882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5344 (or 5341 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The spelling of 21513573882 in words is "twenty-one billion, five hundred thirteen million, five hundred seventy-three thousand, eight hundred eighty-two".