1006262135561 has 2 divisors, whose sum is σ = 1006262135562. Its totient is φ = 1006262135560.

The previous prime is 1006262135533. The next prime is 1006262135587. The reversal of 1006262135561 is 1655312626001.

1006262135561 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., 557308533961 + 448953601600 = 746531^2 + 670040^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1006262135561 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1006262135531) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503131067780 + 503131067781.

It is an arithmetic number, because the mean of its divisors is an integer number (503131067781).

Almost surely, 2^{1006262135561} is an apocalyptic number.

It is an amenable number.

1006262135561 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006262135561 is an equidigital number, since it uses as much as digits as its factorization.

1006262135561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64800, while the sum is 38.

The spelling of 1006262135561 in words is "one trillion, six billion, two hundred sixty-two million, one hundred thirty-five thousand, five hundred sixty-one".