1001314560 has 144 divisors (see below), whose sum is σ = 3229160256. Its totient is φ = 264413184.

The previous prime is 1001314549. The next prime is 1001314597. The reversal of 1001314560 is 654131001.

1001314560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 409662 + ... + 412098.

It is an arithmetic number, because the mean of its divisors is an integer number (22424724).

Almost surely, 2^1001314560 is an apocalyptic number.

1001314560 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 1001314560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614580128).

1001314560 is an abundant number, since it is smaller than the sum of its proper divisors (2227845696).

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

1001314560 is a wasteful number, since it uses less digits than its factorization.

1001314560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2568 (or 2554 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 1001314560 is about 31643.5547939861. The cubic root of 1001314560 is about 1000.4379947992.

Adding to 1001314560 its reverse (654131001), we get a palindrome (1655445561).

The spelling of 1001314560 in words is "one billion, one million, three hundred fourteen thousand, five hundred sixty".