10006506656511 has 16 divisors (see below), whose sum is σ = 13604734443744. Its totient is φ = 6539845163904.

The previous prime is 10006506656491. The next prime is 10006506656513. The reversal of 10006506656511 is 11565660560001.

It is not a de Polignac number, because 10006506656511 - 2⁷ = 10006506656383 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006506656513) 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 15 ways as a sum of consecutive naturals, for example, 25241476 + ... + 25634841.

It is an arithmetic number, because the mean of its divisors is an integer number (850295902734).

Almost surely, 2^{10006506656511} is an apocalyptic number.

10006506656511 is a deficient number, since it is larger than the sum of its proper divisors (3598227787233).

10006506656511 is a wasteful number, since it uses less digits than its factorization.

10006506656511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50877610.

The product of its (nonzero) digits is 162000, while the sum is 42.

The spelling of 10006506656511 in words is "ten trillion, six billion, five hundred six million, six hundred fifty-six thousand, five hundred eleven".