1081509120 has 216 divisors, whose sum is σ = 3766581000. Its totient is φ = 286507008.

The previous prime is 1081509113. The next prime is 1081509181. The reversal of 1081509120 is 219051801.

It can be written as a sum of positive squares in 4 ways, for example, as 34857216 + 1046651904 = 5904^2 + 32352^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3098706 + ... + 3099054.

It is an arithmetic number, because the mean of its divisors is an integer number (17437875).

Almost surely, 2^1081509120 is an apocalyptic number.

1081509120 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 1081509120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1883290500).

1081509120 is an abundant number, since it is smaller than the sum of its proper divisors (2685071880).

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

1081509120 is a wasteful number, since it uses less digits than its factorization.

1081509120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 1081509120 is about 32886.3059646413. The cubic root of 1081509120 is about 1026.4632268701.

The spelling of 1081509120 in words is "one billion, eighty-one million, five hundred nine thousand, one hundred twenty".