1005500105613 has 12 divisors (see below), whose sum is σ = 1452880914940. Its totient is φ = 670106385216.

The previous prime is 1005500105611. The next prime is 1005500105627. The reversal of 1005500105613 is 3165010055001.

1005500105613 is a `hidden beast` number, since 1 + 0 + 0 + 550 + 0 + 105 + 6 + 1 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 371498783049 + 634001322564 = 609507^2 + 796242^2 .

It is not a de Polignac number, because 1005500105613 - 2¹ = 1005500105611 is a prime.

It is a super-3 number, since 3×1005500105613³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005500105611) 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 11 ways as a sum of consecutive naturals, for example, 18890158 + ... + 18943311.

Almost surely, 2^{1005500105613} is an apocalyptic number.

It is an amenable number.

1005500105613 is a deficient number, since it is larger than the sum of its proper divisors (447380809327).

1005500105613 is a wasteful number, since it uses less digits than its factorization.

1005500105613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37836428 (or 37836425 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The spelling of 1005500105613 in words is "one trillion, five billion, five hundred million, one hundred five thousand, six hundred thirteen".