1006791072577 has 2 divisors, whose sum is σ = 1006791072578. Its totient is φ = 1006791072576.

The previous prime is 1006791072559. The next prime is 1006791072583. The reversal of 1006791072577 is 7752701976001.

1006791072577 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 945841831936 + 60949240641 = 972544^2 + 246879^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006791072577 - 2³⁵ = 972431334209 is a prime.

It is not a weakly prime, because it can be changed into another prime (1006791072527) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503395536288 + 503395536289.

It is an arithmetic number, because the mean of its divisors is an integer number (503395536289).

Almost surely, 2^{1006791072577} is an apocalyptic number.

It is an amenable number.

1006791072577 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006791072577 is an equidigital number, since it uses as much as digits as its factorization.

1006791072577 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296540, while the sum is 52.

The spelling of 1006791072577 in words is "one trillion, six billion, seven hundred ninety-one million, seventy-two thousand, five hundred seventy-seven".