20569009584249 has 135 divisors (see below), whose sum is σ = 36025864487613. Its totient is φ = 11661471618048.

The previous prime is 20569009584241. The next prime is 20569009584289. The reversal of 20569009584249 is 94248590096502.

The square root of 20569009584249 is 4535307.

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

20569009584249 is a `hidden beast` number, since 2 + 0 + 5 + 6 + 9 + 0 + 0 + 9 + 584 + 2 + 49 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1043039391849 + 19525970192400 = 1021293^2 + 4418820^2 .

It is not a de Polignac number, because 20569009584249 - 2³ = 20569009584241 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (20569009584241) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 55144797627 + ... + 55144797999.

Almost surely, 2^{20569009584249} is an apocalyptic number.

20569009584249 is the 4535307-th square number.

20569009584249 is the 2267654-th centered octagonal number.

It is an amenable number.

20569009584249 is a deficient number, since it is larger than the sum of its proper divisors (15456854903364).

20569009584249 is an frugal number, since it uses more digits than its factorization.

20569009584249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 20569009584249 in words is "twenty trillion, five hundred sixty-nine billion, nine million, five hundred eighty-four thousand, two hundred forty-nine".