201205225 has 24 divisors (see below), whose sum is σ = 273779352. Its totient is φ = 145766400.

The previous prime is 201205139. The next prime is 201205229. The reversal of 201205225 is 522502102.

It can be written as a sum of positive squares in 12 ways, for example, as 66389904 + 134815321 = 8148^2 + 11611^2 .

It is not a de Polignac number, because 201205225 - 2²⁵ = 167650793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201205229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11385 + ... + 23065.

It is an arithmetic number, because the mean of its divisors is an integer number (11407473).

Almost surely, 2^201205225 is an apocalyptic number.

201205225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

201205225 is a deficient number, since it is larger than the sum of its proper divisors (72574127).

201205225 is a wasteful number, since it uses less digits than its factorization.

201205225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11757 (or 11752 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 201205225 is about 14184.6827599351. The cubic root of 201205225 is about 585.9758956410.

Adding to 201205225 its reverse (522502102), we get a palindrome (723707327).

The spelling of 201205225 in words is "two hundred one million, two hundred five thousand, two hundred twenty-five".