1052005616016 has 40 divisors (see below), whose sum is σ = 2717733062880. Its totient is φ = 350661843456.

The previous prime is 1052005615963. The next prime is 1052005616087. The reversal of 1052005616016 is 6106165002501.

1052005616016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1052005616016² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2767656 + ... + 3124728.

It is an arithmetic number, because the mean of its divisors is an integer number (67943326572).

Almost surely, 2^{1052005616016} is an apocalyptic number.

1052005616016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1052005616016 is an abundant number, since it is smaller than the sum of its proper divisors (1665727446864).

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

1052005616016 is a wasteful number, since it uses less digits than its factorization.

1052005616016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418463 (or 418457 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The spelling of 1052005616016 in words is "one trillion, fifty-two billion, five million, six hundred sixteen thousand, sixteen".