1005605561061 has 24 divisors (see below), whose sum is σ = 1469013923520. Its totient is φ = 662822027136.

The previous prime is 1005605561057. The next prime is 1005605561089. The reversal of 1005605561061 is 1601655065001.

It is not a de Polignac number, because 1005605561061 - 2² = 1005605561057 is a prime.

It is a super-3 number, since 3×1005605561061³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005605561011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 302436 + ... + 1450061.

It is an arithmetic number, because the mean of its divisors is an integer number (61208913480).

Almost surely, 2^{1005605561061} is an apocalyptic number.

It is an amenable number.

1005605561061 is a deficient number, since it is larger than the sum of its proper divisors (463408362459).

1005605561061 is a wasteful number, since it uses less digits than its factorization.

1005605561061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1753225 (or 1753222 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 1005605561061 in words is "one trillion, five billion, six hundred five million, five hundred sixty-one thousand, sixty-one".