213362500 has 108 divisors (see below), whose sum is σ = 510365772. Its totient is φ = 78000000.

The previous prime is 213362497. The next prime is 213362503. The reversal of 213362500 is 5263312.

It is an interprime number because it is at equal distance from previous prime (213362497) and next prime (213362503).

It can be written as a sum of positive squares in 18 ways, for example, as 172607044 + 40755456 = 13138^2 + 6384^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213362503) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2112450 + ... + 2112550.

It is an arithmetic number, because the mean of its divisors is an integer number (4725609).

Almost surely, 2^213362500 is an apocalyptic number.

213362500 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 213362500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255182886).

213362500 is an abundant number, since it is smaller than the sum of its proper divisors (297003272).

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

213362500 is a wasteful number, since it uses less digits than its factorization.

213362500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 213362500 is about 14606.9332852588. The cubic root of 213362500 is about 597.5478623914.

The spelling of 213362500 in words is "two hundred thirteen million, three hundred sixty-two thousand, five hundred".