4205522500 has 45 divisors (see below), whose sum is σ = 9203732769. Its totient is φ = 1680912000.

The previous prime is 4205522473. The next prime is 4205522579. The reversal of 4205522500 is 52255024.

It is a happy number.

The square root of 4205522500 is 64850.

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

It can be written as a sum of positive squares in 7 ways, for example, as 465955396 + 3739567104 = 21586^2 + 61152^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 3241852 + ... + 3243148.

Almost surely, 2^4205522500 is an apocalyptic number.

4205522500 is the 64850-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4205522500

4205522500 is an abundant number, since it is smaller than the sum of its proper divisors (4998210269).

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

4205522500 is an frugal number, since it uses more digits than its factorization.

4205522500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2618 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 25.

The cubic root of 4205522500 is about 1614.1354918405.

Multiplying 4205522500 by its sum of digits (25), we get a square (105138062500 = 324250²).

4205522500 divided by its sum of digits (25) gives a square (168220900 = 12970²).

Adding to 4205522500 its reverse (52255024), we get a palindrome (4257777524).

The spelling of 4205522500 in words is "four billion, two hundred five million, five hundred twenty-two thousand, five hundred".