21513444431512 has 64 divisors (see below), whose sum is σ = 44442543468960. Its totient is φ = 9681565056000.

The previous prime is 21513444431477. The next prime is 21513444431527.

21513444431512 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21513444431512² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 253914468 + ... + 253999180.

Almost surely, 2^{21513444431512} is an apocalyptic number.

21513444431512 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21513444431512 is an abundant number, since it is smaller than the sum of its proper divisors (22929099037448).

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

21513444431512 is a wasteful number, since it uses less digits than its factorization.

21513444431512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113404 (or 113400 counting only the distinct ones).

The product of its digits is 230400, while the sum is 40.

It can be divided in two parts, 2151344 and 4431512, that added together give a palindrome (6582856).

The spelling of 21513444431512 in words is "twenty-one trillion, five hundred thirteen billion, four hundred forty-four million, four hundred thirty-one thousand, five hundred twelve".