1581319560 has 64 divisors (see below), whose sum is σ = 4768865280. Its totient is φ = 419471360.

The previous prime is 1581319547. The next prime is 1581319573. The reversal of 1581319560 is 659131851.

It is an interprime number because it is at equal distance from previous prime (1581319547) and next prime (1581319573).

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 15 ways as a sum of consecutive naturals, for example, 11577 + ... + 57416.

It is an arithmetic number, because the mean of its divisors is an integer number (74513520).

Almost surely, 2^1581319560 is an apocalyptic number.

1581319560 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 1581319560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2384432640).

1581319560 is an abundant number, since it is smaller than the sum of its proper divisors (3187545720).

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

1581319560 is a wasteful number, since it uses less digits than its factorization.

1581319560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69198 (or 69194 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 39.

The square root of 1581319560 is about 39765.8089317947. The cubic root of 1581319560 is about 1165.0374367064.

The spelling of 1581319560 in words is "one billion, five hundred eighty-one million, three hundred nineteen thousand, five hundred sixty".