20301975225 has 243 divisors, whose sum is σ = 44981191983. Its totient is φ = 8726921280.

The previous prime is 20301975191. The next prime is 20301975269. The reversal of 20301975225 is 52257910302.

The square root of 20301975225 is 142485.

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., 7308711081 + 12993264144 = 85491^2 + 113988^2 .

It is not a de Polignac number, because 20301975225 - 2¹⁹ = 20301450937 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 20301975225.

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 242 ways as a sum of consecutive naturals, for example, 344101246 + ... + 344101304.

Almost surely, 2^20301975225 is an apocalyptic number.

20301975225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20301975225 is the 142485-th square number.

20301975225 is the 71243-rd centered octagonal number.

It is an amenable number.

20301975225 is an abundant number, since it is smaller than the sum of its proper divisors (24679216758).

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

20301975225 is a wasteful number, since it uses less digits than its factorization.

20301975225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

Multiplying 20301975225 by its sum of digits (36), we get a square (730871108100 = 854910²).

The spelling of 20301975225 in words is "twenty billion, three hundred one million, nine hundred seventy-five thousand, two hundred twenty-five".