201332500 has 60 divisors (see below), whose sum is σ = 455619780. Its totient is φ = 77728000.

The previous prime is 201332489. The next prime is 201332567. The reversal of 201332500 is 5233102.

201332500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 180956304 + 20376196 = 13452^2 + 4514^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 71112 + ... + 73888.

It is an arithmetic number, because the mean of its divisors is an integer number (7593663).

Almost surely, 2^201332500 is an apocalyptic number.

201332500 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 201332500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227809890).

201332500 is an abundant number, since it is smaller than the sum of its proper divisors (254287280).

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

201332500 is a wasteful number, since it uses less digits than its factorization.

201332500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2830 (or 2813 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 201332500 is about 14189.1684041032. The cubic root of 201332500 is about 586.0994251734.

Adding to 201332500 its reverse (5233102), we get a palindrome (206565602).

The spelling of 201332500 in words is "two hundred one million, three hundred thirty-two thousand, five hundred".