1006552206616 has 64 divisors (see below), whose sum is σ = 2096020761120. Its totient is φ = 449318891520.

The previous prime is 1006552206601. The next prime is 1006552206619. The reversal of 1006552206616 is 6166022556001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006552206619) 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, 1160556 + ... + 1833028.

Almost surely, 2^{1006552206616} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006552206616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048010380560).

1006552206616 is an abundant number, since it is smaller than the sum of its proper divisors (1089468554504).

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

1006552206616 is a wasteful number, since it uses less digits than its factorization.

1006552206616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672796 (or 672792 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The spelling of 1006552206616 in words is "one trillion, six billion, five hundred fifty-two million, two hundred six thousand, six hundred sixteen".