1052880310650 has 288 divisors, whose sum is σ = 3062294857728. Its totient is φ = 234471283200.

The previous prime is 1052880310637. The next prime is 1052880310709. The reversal of 1052880310650 is 560130882501.

1052880310650 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-3 number, since 3×1052880310650³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1052880310599 and 1052880310608.

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, 590509659 + ... + 590511441.

It is an arithmetic number, because the mean of its divisors is an integer number (10632968256).

Almost surely, 2^{1052880310650} is an apocalyptic number.

1052880310650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1052880310650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531147428864).

1052880310650 is an abundant number, since it is smaller than the sum of its proper divisors (2009414547078).

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

1052880310650 is a wasteful number, since it uses less digits than its factorization.

1052880310650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2054 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The spelling of 1052880310650 in words is "one trillion, fifty-two billion, eight hundred eighty million, three hundred ten thousand, six hundred fifty".