213535245120 has 112 divisors (see below), whose sum is σ = 678234912768. Its totient is φ = 56920852480.

The previous prime is 213535245083. The next prime is 213535245127. The reversal of 213535245120 is 21542535312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213535245127) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2538130 + ... + 2620910.

It is an arithmetic number, because the mean of its divisors is an integer number (6055668864).

Almost surely, 2^213535245120 is an apocalyptic number.

213535245120 is a gapful number since it is divisible by the number (20) 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 213535245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339117456384).

213535245120 is an abundant number, since it is smaller than the sum of its proper divisors (464699667648).

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

213535245120 is a wasteful number, since it uses less digits than its factorization.

213535245120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85488 (or 85478 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The spelling of 213535245120 in words is "two hundred thirteen billion, five hundred thirty-five million, two hundred forty-five thousand, one hundred twenty".