1006711770457 has 2 divisors, whose sum is σ = 1006711770458. Its totient is φ = 1006711770456.

The previous prime is 1006711770443. The next prime is 1006711770479. The reversal of 1006711770457 is 7540771176001.

1006711770457 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 886655757376 + 120056013081 = 941624^2 + 346491^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006711770457 - 2³⁵ = 972352032089 is a prime.

It is not a weakly prime, because it can be changed into another prime (1006711770487) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503355885228 + 503355885229.

It is an arithmetic number, because the mean of its divisors is an integer number (503355885229).

Almost surely, 2^{1006711770457} is an apocalyptic number.

It is an amenable number.

1006711770457 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006711770457 is an equidigital number, since it uses as much as digits as its factorization.

1006711770457 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288120, while the sum is 46.

The spelling of 1006711770457 in words is "one trillion, six billion, seven hundred eleven million, seven hundred seventy thousand, four hundred fifty-seven".