1005505464641 has 16 divisors (see below), whose sum is σ = 1106955804240. Its totient is φ = 909086760960.

The previous prime is 1005505464599. The next prime is 1005505464643. The reversal of 1005505464641 is 1464645055001.

It can be written as a sum of positive squares in 8 ways, for example, as 408571526416 + 596933938225 = 639196^2 + 772615^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005505464641 - 2¹⁸ = 1005505202497 is a prime.

It is a super-2 number, since 2×1005505464641² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1005505464643) 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 in 15 ways as a sum of consecutive naturals, for example, 5079440 + ... + 5273681.

It is an arithmetic number, because the mean of its divisors is an integer number (69184737765).

Almost surely, 2^{1005505464641} is an apocalyptic number.

It is an amenable number.

1005505464641 is a deficient number, since it is larger than the sum of its proper divisors (101450339599).

1005505464641 is a wasteful number, since it uses less digits than its factorization.

1005505464641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10353364.

The product of its (nonzero) digits is 288000, while the sum is 41.

The spelling of 1005505464641 in words is "one trillion, five billion, five hundred five million, four hundred sixty-four thousand, six hundred forty-one".