16588688561 has 4 divisors (see below), whose sum is σ = 16588958052. Its totient is φ = 16588419072.

The previous prime is 16588688533. The next prime is 16588688573.

16588688561 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 15511207936 + 1077480625 = 124544^2 + 32825^2 .

It is a cyclic number.

It is not a de Polignac number, because 16588688561 - 2¹⁰ = 16588687537 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 16588688494 and 16588688503.

It is not an unprimeable number, because it can be changed into a prime (16588688581) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7985 + ... + 182321.

It is an arithmetic number, because the mean of its divisors is an integer number (4147239513).

Almost surely, 2^16588688561 is an apocalyptic number.

It is an amenable number.

16588688561 is a deficient number, since it is larger than the sum of its proper divisors (269491).

16588688561 is an equidigital number, since it uses as much as digits as its factorization.

16588688561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269490.

The product of its digits is 22118400, while the sum is 62.

The spelling of 16588688561 in words is "sixteen billion, five hundred eighty-eight million, six hundred eighty-eight thousand, five hundred sixty-one".