1013705280 has 560 divisors, whose sum is σ = 4260470016. Its totient is φ = 223948800.

The previous prime is 1013705221. The next prime is 1013705293. The reversal of 1013705280 is 825073101.

1013705280 is a `hidden beast` number, since 1 + 0 + 137 + 0 + 528 + 0 = 666.

1013705280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6713205 + ... + 6713355.

Almost surely, 2^1013705280 is an apocalyptic number.

1013705280 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 1013705280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2130235008).

1013705280 is an abundant number, since it is smaller than the sum of its proper divisors (3246764736).

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

1013705280 is a wasteful number, since it uses less digits than its factorization.

1013705280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1013705280 is about 31838.7386684837. The cubic root of 1013705280 is about 1004.5477136161.

Adding to 1013705280 its reverse (825073101), we get a palindrome (1838778381).

The spelling of 1013705280 in words is "one billion, thirteen million, seven hundred five thousand, two hundred eighty".