213552020 has 96 divisors (see below), whose sum is σ = 526417920. Its totient is φ = 71936640.

The previous prime is 213552013. The next prime is 213552023. The reversal of 213552020 is 20255312.

213552020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 213551983 and 213552001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213552023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195917 + ... + 197003.

It is an arithmetic number, because the mean of its divisors is an integer number (5483520).

Almost surely, 2^213552020 is an apocalyptic number.

213552020 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 213552020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263208960).

213552020 is an abundant number, since it is smaller than the sum of its proper divisors (312865900).

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

213552020 is a wasteful number, since it uses less digits than its factorization.

213552020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 213552020 is about 14613.4191755386. The cubic root of 213552020 is about 597.7247347044.

213552020 divided by its sum of digits (20) gives a palindrome (10677601).

The spelling of 213552020 in words is "two hundred thirteen million, five hundred fifty-two thousand, twenty".