1059313360 has 120 divisors (see below), whose sum is σ = 2882768616. Its totient is φ = 360944640.

The previous prime is 1059313357. The next prime is 1059313361. The reversal of 1059313360 is 633139501.

It can be written as a sum of positive squares in 4 ways, for example, as 38638656 + 1020674704 = 6216^2 + 31948^2 .

It is a super-2 number, since 2×1059313360² = 2244289589348979200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1059313361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 708774 + ... + 710266.

Almost surely, 2^1059313360 is an apocalyptic number.

1059313360 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 1059313360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441384308).

1059313360 is an abundant number, since it is smaller than the sum of its proper divisors (1823455256).

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

1059313360 is a wasteful number, since it uses less digits than its factorization.

1059313360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 31.

The square root of 1059313360 is about 32547.0944939790. The cubic root of 1059313360 is about 1019.3926154496.

The spelling of 1059313360 in words is "one billion, fifty-nine million, three hundred thirteen thousand, three hundred sixty".