1006505665722 has 12 divisors (see below), whose sum is σ = 2180762275770. Its totient is φ = 335501888568.

The previous prime is 1006505665699. The next prime is 1006505665729. The reversal of 1006505665722 is 2275665056001.

1006505665722 is a `hidden beast` number, since 1 + 0 + 0 + 65 + 0 + 566 + 5 + 7 + 22 = 666.

1006505665722 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 992237124321 + 14268541401 = 996111^2 + 119451^2 .

It is not an unprimeable number, because it can be changed into a prime (1006505665729) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27958490697 + ... + 27958490732.

Almost surely, 2^{1006505665722} is an apocalyptic number.

1006505665722 is an abundant number, since it is smaller than the sum of its proper divisors (1174256610048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1006505665722 is a wasteful number, since it uses less digits than its factorization.

1006505665722 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55916981437 (or 55916981434 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 1006505665722 in words is "one trillion, six billion, five hundred five million, six hundred sixty-five thousand, seven hundred twenty-two".