1006530515712 has 108 divisors (see below), whose sum is σ = 2902700089744. Its totient is φ = 335437977600.

The previous prime is 1006530515651. The next prime is 1006530515777. The reversal of 1006530515712 is 2175150356001.

It is a happy number.

1006530515712 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 5 + 30 + 51 + 571 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11251962 + ... + 11341062.

Almost surely, 2^{1006530515712} is an apocalyptic number.

1006530515712 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 1006530515712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451350044872).

1006530515712 is an abundant number, since it is smaller than the sum of its proper divisors (1896169574032).

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

1006530515712 is an equidigital number, since it uses as much as digits as its factorization.

1006530515712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94026 (or 94009 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The spelling of 1006530515712 in words is "one trillion, six billion, five hundred thirty million, five hundred fifteen thousand, seven hundred twelve".