61005055005605 has 8 divisors (see below), whose sum is σ = 73211914613112. Its totient is φ = 48800144933568.

The previous prime is 61005055005581. The next prime is 61005055005617. The reversal of 61005055005605 is 50650055050016.

It can be written as a sum of positive squares in 4 ways, for example, as 4776982868161 + 56228072137444 = 2185631^2 + 7498538^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 61005055005605 - 2⁶ = 61005055005541 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 487315022 + ... + 487440191.

It is an arithmetic number, because the mean of its divisors is an integer number (9151489326639).

Almost surely, 2^{61005055005605} is an apocalyptic number.

It is an amenable number.

61005055005605 is a deficient number, since it is larger than the sum of its proper divisors (12206859607507).

61005055005605 is a wasteful number, since it uses less digits than its factorization.

61005055005605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974767735.

The product of its (nonzero) digits is 112500, while the sum is 38.

The spelling of 61005055005605 in words is "sixty-one trillion, five billion, fifty-five million, five thousand, six hundred five".