20117553365061 has 12 divisors (see below), whose sum is σ = 29058859355500. Its totient is φ = 13411623245760.

The previous prime is 20117553365047. The next prime is 20117553365093. The reversal of 20117553365061 is 16056335571102.

20117553365061 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 7 + 5 + 533 + 6 + 50 + 61 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14367844764036 + 5749708601025 = 3790494^2 + 2397855^2 .

It is not a de Polignac number, because 20117553365061 - 2²² = 20117549170757 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20117553364998 and 20117553365016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20117553365561) 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 11 ways as a sum of consecutive naturals, for example, 4948936 + ... + 8045313.

Almost surely, 2^{20117553365061} is an apocalyptic number.

It is an amenable number.

20117553365061 is a deficient number, since it is larger than the sum of its proper divisors (8941305990439).

20117553365061 is a wasteful number, since it uses less digits than its factorization.

20117553365061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13166276 (or 13166273 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 20117553365061 in words is "twenty trillion, one hundred seventeen billion, five hundred fifty-three million, three hundred sixty-five thousand, sixty-one".