20908259228025 has 243 divisors, whose sum is σ = 41092777085997. Its totient is φ = 10157656579200.

The previous prime is 20908259227997. The next prime is 20908259228039. The reversal of 20908259228025 is 52082295280902.

The square root of 20908259228025 is 4572555.

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

20908259228025 is a `hidden beast` number, since 2 + 0 + 9 + 0 + 8 + 2 + 592 + 28 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5389134745401 + 15519124482624 = 2321451^2 + 3939432^2 .

It is not a de Polignac number, because 20908259228025 - 2¹⁷ = 20908259096953 is a prime.

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, 116805917386 + ... + 116805917564.

Almost surely, 2^{20908259228025} is an apocalyptic number.

20908259228025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20908259228025 is the 4572555-th square number.

20908259228025 is the 2286278-th centered octagonal number.

It is an amenable number.

20908259228025 is a deficient number, since it is larger than the sum of its proper divisors (20184517857972).

20908259228025 is a wasteful number, since it uses less digits than its factorization.

20908259228025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 20908259228025 in words is "twenty trillion, nine hundred eight billion, two hundred fifty-nine million, two hundred twenty-eight thousand, twenty-five".