1005605061361 has 8 divisors (see below), whose sum is σ = 1006685316000. Its totient is φ = 1004525040480.

The previous prime is 1005605061341. The next prime is 1005605061403. The reversal of 1005605061361 is 1631605065001.

1005605061361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 1005605061361 - 2³¹ = 1003457577713 is a prime.

It is a super-2 number, since 2×1005605061361² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005605061341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9357150 + ... + 9464008.

It is an arithmetic number, because the mean of its divisors is an integer number (125835664500).

Almost surely, 2^{1005605061361} is an apocalyptic number.

It is an amenable number.

1005605061361 is a deficient number, since it is larger than the sum of its proper divisors (1080254639).

1005605061361 is a wasteful number, since it uses less digits than its factorization.

1005605061361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116879.

The product of its (nonzero) digits is 16200, while the sum is 34.

The spelling of 1005605061361 in words is "one trillion, five billion, six hundred five million, sixty-one thousand, three hundred sixty-one".