1005105560061 has 8 divisors (see below), whose sum is σ = 1340294485120. Its totient is φ = 669993504192.

The previous prime is 1005105560057. The next prime is 1005105560113. The reversal of 1005105560061 is 1600655015001.

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

It is not a de Polignac number, because 1005105560061 - 2² = 1005105560057 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005105560161) 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, 19186780 + ... + 19239093.

It is an arithmetic number, because the mean of its divisors is an integer number (167536810640).

Almost surely, 2^{1005105560061} is an apocalyptic number.

It is an amenable number.

1005105560061 is a deficient number, since it is larger than the sum of its proper divisors (335188925059).

1005105560061 is an equidigital number, since it uses as much as digits as its factorization.

1005105560061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38434595.

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 1005105560061 in words is "one trillion, five billion, one hundred five million, five hundred sixty thousand, sixty-one".