213521064236550 has 288 divisors, whose sum is σ = 694201646054592. Its totient is φ = 45932293693440.

The previous prime is 213521064236531. The next prime is 213521064236581. The reversal of 213521064236550 is 55632460125312.

213521064236550 is a `hidden beast` number, since 2 + 1 + 3 + 5 + 2 + 1 + 0 + 64 + 2 + 36 + 550 = 666.

It is a super-2 number, since 2×213521064236550² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 213521064236496 and 213521064236505.

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 143 ways as a sum of consecutive naturals, for example, 2026975482 + ... + 2027080818.

It is an arithmetic number, because the mean of its divisors is an integer number (2410422382134).

Almost surely, 2^{213521064236550} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213521064236550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347100823027296).

213521064236550 is an abundant number, since it is smaller than the sum of its proper divisors (480680581818042).

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

213521064236550 is a wasteful number, since it uses less digits than its factorization.

213521064236550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143232 (or 143224 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 213521064236550 in words is "two hundred thirteen trillion, five hundred twenty-one billion, sixty-four million, two hundred thirty-six thousand, five hundred fifty".