225935462025 has 576 divisors, whose sum is σ = 539205488640. Its totient is φ = 90736588800.

The previous prime is 225935461993. The next prime is 225935462131. The reversal of 225935462025 is 520264539522.

225935462025 is a `hidden beast` number, since 2 + 2 + 593 + 54 + 6 + 2 + 0 + 2 + 5 = 666.

225935462025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 225935462025 - 2⁵ = 225935461993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 575 ways as a sum of consecutive naturals, for example, 2193548124 + ... + 2193548226.

It is an arithmetic number, because the mean of its divisors is an integer number (936120640).

Almost surely, 2^225935462025 is an apocalyptic number.

225935462025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

225935462025 is an abundant number, since it is smaller than the sum of its proper divisors (313270026615).

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

225935462025 is a wasteful number, since it uses less digits than its factorization.

225935462025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 225935462025 in words is "two hundred twenty-five billion, nine hundred thirty-five million, four hundred sixty-two thousand, twenty-five".