1059513120 has 288 divisors, whose sum is σ = 3767347584. Its totient is φ = 270950400.

The previous prime is 1059513109. The next prime is 1059513127. The reversal of 1059513120 is 213159501.

1059513120 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 (288).

It is a super-2 number, since 2×1059513120² = 2245136102904268800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1059513127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4396200 + ... + 4396440.

It is an arithmetic number, because the mean of its divisors is an integer number (13081068).

Almost surely, 2^1059513120 is an apocalyptic number.

1059513120 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 1059513120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1883673792).

1059513120 is an abundant number, since it is smaller than the sum of its proper divisors (2707834464).

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

1059513120 is a wasteful number, since it uses less digits than its factorization.

1059513120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 1059513120 is about 32550.1631332318. The cubic root of 1059513120 is about 1019.4566887376.

The spelling of 1059513120 in words is "one billion, fifty-nine million, five hundred thirteen thousand, one hundred twenty".