1006011005972 has 12 divisors (see below), whose sum is σ = 2012022012000. Its totient is φ = 431147573976.

The previous prime is 1006011005971. The next prime is 1006011006043. The reversal of 1006011005972 is 2795001106001.

1006011005972 is an admirable number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006011005971) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17964482222 + ... + 17964482277.

It is an arithmetic number, because the mean of its divisors is an integer number (167668501000).

Almost surely, 2^{1006011005972} is an apocalyptic number.

It is an amenable number.

1006011005972 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

1006011005972 is a wasteful number, since it uses less digits than its factorization.

1006011005972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35928964510 (or 35928964508 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 32.

The spelling of 1006011005972 in words is "one trillion, six billion, eleven million, five thousand, nine hundred seventy-two".