1020306621516 has 192 divisors, whose sum is σ = 2979431110656. Its totient is φ = 264583065600.

The previous prime is 1020306621497. The next prime is 1020306621547. The reversal of 1020306621516 is 6151266030201.

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, 28901796 + ... + 28937076.

It is an arithmetic number, because the mean of its divisors is an integer number (15517870368).

Almost surely, 2^{1020306621516} 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 1020306621516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489715555328).

1020306621516 is an abundant number, since it is smaller than the sum of its proper divisors (1959124489140).

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

1020306621516 is a wasteful number, since it uses less digits than its factorization.

1020306621516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35752 (or 35750 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 1020306621516 in words is "one trillion, twenty billion, three hundred six million, six hundred twenty-one thousand, five hundred sixteen".