213232500 has 270 divisors, whose sum is σ = 753210458. Its totient is φ = 52488000.

The previous prime is 213232493. The next prime is 213232507. The reversal of 213232500 is 5232312.

213232500 is a `hidden beast` number, since 2 + 132 + 32 + 500 = 666.

It is an interprime number because it is at equal distance from previous prime (213232493) and next prime (213232507).

It can be written as a sum of positive squares in 5 ways, for example, as 124947684 + 88284816 = 11178^2 + 9396^2 .

It is a tau number, because it is divible by the number of its divisors (270).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213232507) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 16402494 + ... + 16402506.

Almost surely, 2^213232500 is an apocalyptic number.

213232500 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 213232500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376605229).

213232500 is an abundant number, since it is smaller than the sum of its proper divisors (539977958).

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

213232500 is an frugal number, since it uses more digits than its factorization.

213232500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 213232500 is about 14602.4826656292. The cubic root of 213232500 is about 597.4264774178.

Adding to 213232500 its reverse (5232312), we get a palindrome (218464812).

The spelling of 213232500 in words is "two hundred thirteen million, two hundred thirty-two thousand, five hundred".