1083782513520 has 360 divisors, whose sum is σ = 4482997940304. Its totient is φ = 233149722624.

The previous prime is 1083782513507. The next prime is 1083782513521. The reversal of 1083782513520 is 253152873801.

1083782513520 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 7 + 82 + 513 + 52 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×1083782513520² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1083782513521) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 303754 + ... + 1503273.

Almost surely, 2^{1083782513520} is an apocalyptic number.

1083782513520 is a gapful number since it is divisible by the number (10) 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 1083782513520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2241498970152).

1083782513520 is an abundant number, since it is smaller than the sum of its proper divisors (3399215426784).

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

1083782513520 is a wasteful number, since it uses less digits than its factorization.

1083782513520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1807077 (or 1807061 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 1083782513520 in words is "one trillion, eighty-three billion, seven hundred eighty-two million, five hundred thirteen thousand, five hundred twenty".