1006506566651 has 32 divisors (see below), whose sum is σ = 1076808066048. Its totient is φ = 939591878400.

The previous prime is 1006506566617. The next prime is 1006506566677. The reversal of 1006506566651 is 1566656056001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1006506566651 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1006506566596 and 1006506566605.

It is not an unprimeable number, because it can be changed into a prime (1006506560651) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14867060 + ... + 14934606.

It is an arithmetic number, because the mean of its divisors is an integer number (33650252064).

Almost surely, 2^{1006506566651} is an apocalyptic number.

1006506566651 is a deficient number, since it is larger than the sum of its proper divisors (70301499397).

1006506566651 is a wasteful number, since it uses less digits than its factorization.

1006506566651 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67811.

The product of its (nonzero) digits is 972000, while the sum is 47.

The spelling of 1006506566651 in words is "one trillion, six billion, five hundred six million, five hundred sixty-six thousand, six hundred fifty-one".