1006220336520 has 256 divisors, whose sum is σ = 3845088921600. Its totient is φ = 205071298560.

The previous prime is 1006220336497. The next prime is 1006220336567. The reversal of 1006220336520 is 256330226001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1582986 + ... + 2125625.

It is an arithmetic number, because the mean of its divisors is an integer number (15019878600).

Almost surely, 2^{1006220336520} is an apocalyptic number.

1006220336520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006220336520 is an abundant number, since it is smaller than the sum of its proper divisors (2838868585080).

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

1006220336520 is a wasteful number, since it uses less digits than its factorization.

1006220336520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3708668 (or 3708664 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 1006220336520 in words is "one trillion, six billion, two hundred twenty million, three hundred thirty-six thousand, five hundred twenty".