225481572801 has 63 divisors (see below), whose sum is σ = 346960895859. Its totient is φ = 146466224352.

The previous prime is 225481572787. The next prime is 225481572893. The reversal of 225481572801 is 108275184522.

The square root of 225481572801 is 474849.

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

225481572801 is a `hidden beast` number, since 2 + 25 + 481 + 5 + 72 + 80 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 206071510401 + 19410062400 = 453951^2 + 139320^2 .

It is not a de Polignac number, because 225481572801 - 2¹⁵ = 225481540033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (225481572301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 551299485 + ... + 551299893.

Almost surely, 2^225481572801 is an apocalyptic number.

225481572801 is the 474849-th square number.

225481572801 is the 237425-th centered octagonal number.

It is an amenable number.

225481572801 is a deficient number, since it is larger than the sum of its proper divisors (121479323058).

225481572801 is an frugal number, since it uses more digits than its factorization.

225481572801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The spelling of 225481572801 in words is "two hundred twenty-five billion, four hundred eighty-one million, five hundred seventy-two thousand, eight hundred one".