1013482080 has 144 divisors (see below), whose sum is σ = 3724615440. Its totient is φ = 249467904.

The previous prime is 1013482061. The next prime is 1013482139. The reversal of 1013482080 is 802843101.

1013482080 is a `hidden beast` number, since 101 + 3 + 482 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1013482080² = 2054291852962252800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8350 + ... + 45789.

It is an arithmetic number, because the mean of its divisors is an integer number (25865385).

Almost surely, 2^1013482080 is an apocalyptic number.

1013482080 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 1013482080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1862307720).

1013482080 is an abundant number, since it is smaller than the sum of its proper divisors (2711133360).

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

1013482080 is a wasteful number, since it uses less digits than its factorization.

1013482080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54173 (or 54162 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1013482080 is about 31835.2333115371. The cubic root of 1013482080 is about 1004.4739803157.

The spelling of 1013482080 in words is "one billion, thirteen million, four hundred eighty-two thousand, eighty".