1005406655597 has 2 divisors, whose sum is σ = 1005406655598. Its totient is φ = 1005406655596.

The previous prime is 1005406655587. The next prime is 1005406655621. The reversal of 1005406655597 is 7955566045001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 847272384676 + 158134270921 = 920474^2 + 397661^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005406655597 - 2¹⁴ = 1005406639213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005406655537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502703327798 + 502703327799.

It is an arithmetic number, because the mean of its divisors is an integer number (502703327799).

Almost surely, 2^{1005406655597} is an apocalyptic number.

It is an amenable number.

1005406655597 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005406655597 is an equidigital number, since it uses as much as digits as its factorization.

1005406655597 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5670000, while the sum is 53.

The spelling of 1005406655597 in words is "one trillion, five billion, four hundred six million, six hundred fifty-five thousand, five hundred ninety-seven".