224813481025 has 243 divisors, whose sum is σ = 369688469283. Its totient is φ = 135188222400.

The previous prime is 224813481019. The next prime is 224813481091. The reversal of 224813481025 is 520184318422.

It is a happy number.

The square root of 224813481025 is 474145.

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

It can be written as a sum of positive squares in only one way, i.e., 80932853169 + 143880627856 = 284487^2 + 379316^2 .

It is not a de Polignac number, because 224813481025 - 2⁹ = 224813480513 is a prime.

It is a super-2 number, since 2×224813481025² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 7252047760 + ... + 7252047790.

Almost surely, 2^224813481025 is an apocalyptic number.

224813481025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

224813481025 is the 474145-th square number.

224813481025 is the 237073-rd centered octagonal number.

It is an amenable number.

224813481025 is a deficient number, since it is larger than the sum of its proper divisors (144874988258).

224813481025 is a wasteful number, since it uses less digits than its factorization.

224813481025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

Adding to 224813481025 its reverse (520184318422), we get a palindrome (744997799447).

The spelling of 224813481025 in words is "two hundred twenty-four billion, eight hundred thirteen million, four hundred eighty-one thousand, twenty-five".