1021683523806 has 288 divisors, whose sum is σ = 2585876686848. Its totient is φ = 290893680000.

The previous prime is 1021683523789. The next prime is 1021683523841. The reversal of 1021683523806 is 6083253861201.

1021683523806 is a `hidden beast` number, since 1 + 0 + 216 + 8 + 3 + 52 + 380 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 321181536 + ... + 321184716.

It is an arithmetic number, because the mean of its divisors is an integer number (8978738496).

Almost surely, 2^{1021683523806} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021683523806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292938343424).

1021683523806 is an abundant number, since it is smaller than the sum of its proper divisors (1564193163042).

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

1021683523806 is a wasteful number, since it uses less digits than its factorization.

1021683523806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3380 (or 3366 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 1021683523806 in words is "one trillion, twenty-one billion, six hundred eighty-three million, five hundred twenty-three thousand, eight hundred six".