202441504225 has 45 divisors (see below), whose sum is σ = 262445266447. Its totient is φ = 154907221280.

The previous prime is 202441504217. The next prime is 202441504231. The reversal of 202441504225 is 522405144202.

The square root of 202441504225 is 449935.

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

202441504225 is digitally balanced in base 2, 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 7 ways, for example, as 119964556881 + 82476947344 = 346359^2 + 287188^2 .

It is not a de Polignac number, because 202441504225 - 2³ = 202441504217 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1891976622 + ... + 1891976728.

Almost surely, 2^202441504225 is an apocalyptic number.

202441504225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

202441504225 is the 449935-th square number.

202441504225 is the 224968-th centered octagonal number.

It is an amenable number.

202441504225 is a deficient number, since it is larger than the sum of its proper divisors (60003762222).

202441504225 is an frugal number, since it uses more digits than its factorization.

202441504225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 31.

Adding to 202441504225 its reverse (522405144202), we get a palindrome (724846648427).

The spelling of 202441504225 in words is "two hundred two billion, four hundred forty-one million, five hundred four thousand, two hundred twenty-five".