213200500 has 24 divisors (see below), whose sum is σ = 465630984. Its totient is φ = 85280000.

The previous prime is 213200483. The next prime is 213200527. The reversal of 213200500 is 5002312.

It can be written as a sum of positive squares in 4 ways, for example, as 11048976 + 202151524 = 3324^2 + 14218^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212701 + ... + 213700.

It is an arithmetic number, because the mean of its divisors is an integer number (19401291).

Almost surely, 2^213200500 is an apocalyptic number.

213200500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213200500 is an abundant number, since it is smaller than the sum of its proper divisors (252430484).

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

213200500 is a wasteful number, since it uses less digits than its factorization.

213200500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426420 (or 426408 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 213200500 is about 14601.3869204264. The cubic root of 213200500 is about 597.3965904733.

Adding to 213200500 its reverse (5002312), we get a palindrome (218202812).

It can be divided in two parts, 21 and 3200500, that added together give a square (3200521 = 1789²).

The spelling of 213200500 in words is "two hundred thirteen million, two hundred thousand, five hundred".