213523520 has 224 divisors, whose sum is σ = 636422400. Its totient is φ = 66576384.

The previous prime is 213523489. The next prime is 213523547. The reversal of 213523520 is 25325312.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1234154 + ... + 1234326.

Almost surely, 2^213523520 is an apocalyptic number.

213523520 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 213523520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318211200).

213523520 is an abundant number, since it is smaller than the sum of its proper divisors (422898880).

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

213523520 is a wasteful number, since it uses less digits than its factorization.

213523520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 213523520 is about 14612.4440118688. Note that the first 3 decimals coincide. The cubic root of 213523520 is about 597.6981433493.

Adding to 213523520 its reverse (25325312), we get a palindrome (238848832).

The spelling of 213523520 in words is "two hundred thirteen million, five hundred twenty-three thousand, five hundred twenty".