10735661563 has 8 divisors (see below), whose sum is σ = 11716252416. Its totient is φ = 9755841000.

The previous prime is 10735661549. The next prime is 10735661569. The reversal of 10735661563 is 36516653701.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10735661563 - 2⁹ = 10735661051 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10735661569) 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 7 ways as a sum of consecutive naturals, for example, 163231 + ... + 219352.

It is an arithmetic number, because the mean of its divisors is an integer number (1464531552).

Almost surely, 2^10735661563 is an apocalyptic number.

10735661563 is a deficient number, since it is larger than the sum of its proper divisors (980590853).

10735661563 is a wasteful number, since it uses less digits than its factorization.

10735661563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385145.

The product of its (nonzero) digits is 340200, while the sum is 43.

The spelling of 10735661563 in words is "ten billion, seven hundred thirty-five million, six hundred sixty-one thousand, five hundred sixty-three".