21213612325125 has 192 divisors, whose sum is σ = 43161025340160. Its totient is φ = 10273538880000.

The previous prime is 21213612325117. The next prime is 21213612325127. The reversal of 21213612325125 is 52152321631212.

21213612325125 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 3 + 612 + 3 + 25 + 12 + 5 = 666.

It is not a de Polignac number, because 21213612325125 - 2³ = 21213612325117 is a prime.

It is a super-3 number, since 3×21213612325125³ (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21213612325125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21213612325127) 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 191 ways as a sum of consecutive naturals, for example, 359748894 + ... + 359807856.

It is an arithmetic number, because the mean of its divisors is an integer number (224797006980).

Almost surely, 2^{21213612325125} is an apocalyptic number.

21213612325125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

21213612325125 is an abundant number, since it is smaller than the sum of its proper divisors (21947413015035).

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

21213612325125 is a wasteful number, since it uses less digits than its factorization.

21213612325125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59890 (or 59863 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

Adding to 21213612325125 its reverse (52152321631212), we get a palindrome (73365933956337).

The spelling of 21213612325125 in words is "twenty-one trillion, two hundred thirteen billion, six hundred twelve million, three hundred twenty-five thousand, one hundred twenty-five".