1082505102336 has 880 divisors, whose sum is σ = 3908053795200. Its totient is φ = 295422640128.

The previous prime is 1082505102319. The next prime is 1082505102353. The reversal of 1082505102336 is 6332015052801.

1082505102336 is a `hidden beast` number, since 10 + 8 + 2 + 505 + 102 + 3 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (1082505102319) and next prime (1082505102353).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1082505102336.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1526805150 + ... + 1526805858.

Almost surely, 2^{1082505102336} is an apocalyptic number.

1082505102336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1082505102336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1954026897600).

1082505102336 is an abundant number, since it is smaller than the sum of its proper divisors (2825548692864).

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

1082505102336 is an frugal number, since it uses more digits than its factorization.

1082505102336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 1082505102336 in words is "one trillion, eighty-two billion, five hundred five million, one hundred two thousand, three hundred thirty-six".