1083068409752 has 64 divisors (see below), whose sum is σ = 2497667192640. Its totient is φ = 429706137600.

The previous prime is 1083068409751. The next prime is 1083068409763. The reversal of 1083068409752 is 2579048603801.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1083068409694 and 1083068409703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1083068409751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9267149 + ... + 9383292.

It is an arithmetic number, because the mean of its divisors is an integer number (39026049885).

It is a 1-persistent number, because it is pandigital, but 2⋅1083068409752 = 2166136819504 is not.

Almost surely, 2^{1083068409752} is an apocalyptic number.

It is an amenable number.

1083068409752 is an abundant number, since it is smaller than the sum of its proper divisors (1414598782888).

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

1083068409752 is a wasteful number, since it uses less digits than its factorization.

1083068409752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18650532 (or 18650528 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 53.

The spelling of 1083068409752 in words is "one trillion, eighty-three billion, sixty-eight million, four hundred nine thousand, seven hundred fifty-two".