201564500 has 48 divisors (see below), whose sum is σ = 455429520. Its totient is φ = 77840000.

The previous prime is 201564497. The next prime is 201564533. The reversal of 201564500 is 5465102.

It can be written as a sum of positive squares in 8 ways, for example, as 33965584 + 167598916 = 5828^2 + 12946^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7550 + ... + 21450.

It is an arithmetic number, because the mean of its divisors is an integer number (9488115).

Almost surely, 2^201564500 is an apocalyptic number.

201564500 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 201564500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227714760).

201564500 is an abundant number, since it is smaller than the sum of its proper divisors (253865020).

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

201564500 is a wasteful number, since it uses less digits than its factorization.

201564500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13949 (or 13937 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 201564500 is about 14197.3413003985. The cubic root of 201564500 is about 586.3244639708.

The spelling of 201564500 in words is "two hundred one million, five hundred sixty-four thousand, five hundred".