213521000 has 256 divisors, whose sum is σ = 646963200. Its totient is φ = 64032000.

The previous prime is 213520981. The next prime is 213521017. The reversal of 213521000 is 125312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3618971 + ... + 3619029.

It is an arithmetic number, because the mean of its divisors is an integer number (2527200).

Almost surely, 2^213521000 is an apocalyptic number.

213521000 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 213521000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323481600).

213521000 is an abundant number, since it is smaller than the sum of its proper divisors (433442200).

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

213521000 is a wasteful number, since it uses less digits than its factorization.

213521000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 213521000 is about 14612.3577837391. The cubic root of 213521000 is about 597.6957919998.

Adding to 213521000 its reverse (125312), we get a palindrome (213646312).

The spelling of 213521000 in words is "two hundred thirteen million, five hundred twenty-one thousand".