21531333313512 has 192 divisors, whose sum is σ = 63820100410560. Its totient is φ = 6503651481600.

The previous prime is 21531333313439. The next prime is 21531333313547.

21531333313512 is a `hidden beast` number, since 2 + 1 + 5 + 3 + 1 + 333 + 313 + 5 + 1 + 2 = 666.

21531333313512 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 1452751062 + ... + 1452765882.

It is an arithmetic number, because the mean of its divisors is an integer number (332396356305).

Almost surely, 2^{21531333313512} is an apocalyptic number.

21531333313512 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21531333313512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31910050205280).

21531333313512 is an abundant number, since it is smaller than the sum of its proper divisors (42288767097048).

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

21531333313512 is a wasteful number, since it uses less digits than its factorization.

21531333313512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20624 (or 20617 counting only the distinct ones).

The product of its digits is 72900, while the sum is 36.

It can be divided in two parts, 2153133 and 3313512, that added together give a palindrome (5466645).

The spelling of 21531333313512 in words is "twenty-one trillion, five hundred thirty-one billion, three hundred thirty-three million, three hundred thirteen thousand, five hundred twelve".