1006051560012 has 18 divisors (see below), whose sum is σ = 2543074776788. Its totient is φ = 335350519992.

The previous prime is 1006051559971. The next prime is 1006051560013. The reversal of 1006051560012 is 2100651506001.

It is a happy number.

1006051560012 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 0 + 51 + 5 + 600 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is not an unprimeable number, because it can be changed into a prime (1006051560013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13972938298 + ... + 13972938369.

Almost surely, 2^{1006051560012} is an apocalyptic number.

1006051560012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1006051560012 is an abundant number, since it is smaller than the sum of its proper divisors (1537023216776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1006051560012 is a wasteful number, since it uses less digits than its factorization.

1006051560012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27945876677 (or 27945876672 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 1006051560012 in words is "one trillion, six billion, fifty-one million, five hundred sixty thousand, twelve".