20105583405625 has 15 divisors (see below), whose sum is σ = 25124077102267. Its totient is φ = 16084377046000.

The previous prime is 20105583405559. The next prime is 20105583405637. The reversal of 20105583405625 is 52650438550102.

The square root of 20105583405625 is 4483925.

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

It can be written as a sum of positive squares in 7 ways, for example, as 4645934526249 + 15459648879376 = 2155443^2 + 3931876^2 .

It is not a de Polignac number, because 20105583405625 - 2¹⁵ = 20105583372857 is a prime.

It is a super-3 number, since 3×20105583405625³ (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 112008447 + ... + 112187803.

Almost surely, 2^{20105583405625} is an apocalyptic number.

20105583405625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20105583405625 is the 4483925-th square number.

20105583405625 is the 2241963-rd centered octagonal number.

It is an amenable number.

20105583405625 is a deficient number, since it is larger than the sum of its proper divisors (5018493696642).

20105583405625 is an frugal number, since it uses more digits than its factorization.

20105583405625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358734 (or 179362 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 46.

The spelling of 20105583405625 in words is "twenty trillion, one hundred five billion, five hundred eighty-three million, four hundred five thousand, six hundred twenty-five".