1006665251232 has 96 divisors (see below), whose sum is σ = 2683662105600. Its totient is φ = 330334126848.

The previous prime is 1006665251219. The next prime is 1006665251237. The reversal of 1006665251232 is 2321525666001.

1006665251232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1006665251237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10106569 + ... + 10205687.

It is an arithmetic number, because the mean of its divisors is an integer number (27954813600).

Almost surely, 2^{1006665251232} is an apocalyptic number.

1006665251232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006665251232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341831052800).

1006665251232 is an abundant number, since it is smaller than the sum of its proper divisors (1676996854368).

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

1006665251232 is a wasteful number, since it uses less digits than its factorization.

1006665251232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100778 (or 100770 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 1006665251232 in words is "one trillion, six billion, six hundred sixty-five million, two hundred fifty-one thousand, two hundred thirty-two".