1000556006061 has 24 divisors (see below), whose sum is σ = 1366076392896. Its totient is φ = 651403105920.

The previous prime is 1000556006057. The next prime is 1000556006069. The reversal of 1000556006061 is 1606006550001.

It is not a de Polignac number, because 1000556006061 - 2² = 1000556006057 is a prime.

It is a super-2 number, since 2×1000556006061² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000556006069) 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, 37001616 + ... + 37028646.

It is an arithmetic number, because the mean of its divisors is an integer number (56919849704).

Almost surely, 2^{1000556006061} is an apocalyptic number.

It is an amenable number.

1000556006061 is a deficient number, since it is larger than the sum of its proper divisors (365520386835).

1000556006061 is an equidigital number, since it uses as much as digits as its factorization.

1000556006061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33793 (or 33750 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 1000556006061 in words is "one trillion, five hundred fifty-six million, six thousand, sixty-one".