213582622500 has 675 divisors, whose sum is σ = 765193591701. Its totient is φ = 51908688000.

The previous prime is 213582622489. The next prime is 213582622501. The reversal of 213582622500 is 5226285312.

It is a happy number.

The square root of 213582622500 is 462150.

It is a perfect power (a square), and thus also a powerful number.

213582622500 is a `hidden beast` number, since 2 + 1 + 3 + 582 + 6 + 22 + 50 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 210962001636 + 2620620864 = 459306^2 + 51192^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (213582622501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 2703577461 + ... + 2703577539.

Almost surely, 2^213582622500 is an apocalyptic number.

213582622500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

213582622500 is the 462150-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213582622500

213582622500 is an abundant number, since it is smaller than the sum of its proper divisors (551610969201).

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

213582622500 is an equidigital number, since it uses as much as digits as its factorization.

213582622500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Multiplying 213582622500 by its sum of digits (36), we get a square (7688974410000 = 2772900²).

213582622500 divided by its sum of digits (36) gives a square (5932850625 = 77025²).

The spelling of 213582622500 in words is "two hundred thirteen billion, five hundred eighty-two million, six hundred twenty-two thousand, five hundred".