1006082475132 has 96 divisors (see below), whose sum is σ = 2722780569600. Its totient is φ = 283197097152.

The previous prime is 1006082475127. The next prime is 1006082475157. The reversal of 1006082475132 is 2315742806001.

1006082475132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2301969 + ... + 2703927.

It is an arithmetic number, because the mean of its divisors is an integer number (28362297600).

Almost surely, 2^{1006082475132} is an apocalyptic number.

1006082475132 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 1006082475132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361390284800).

1006082475132 is an abundant number, since it is smaller than the sum of its proper divisors (1716698094468).

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

1006082475132 is a wasteful number, since it uses less digits than its factorization.

1006082475132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402415 (or 402413 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 1006082475132 in words is "one trillion, six billion, eighty-two million, four hundred seventy-five thousand, one hundred thirty-two".