1301583472 has 60 divisors (see below), whose sum is σ = 2946946800. Its totient is φ = 556676064.

The previous prime is 1301583463. The next prime is 1301583509. The reversal of 1301583472 is 2743851031.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2672413 + ... + 2672899.

It is an arithmetic number, because the mean of its divisors is an integer number (49115780).

Almost surely, 2^1301583472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1301583472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473473400).

1301583472 is an abundant number, since it is smaller than the sum of its proper divisors (1645363328).

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

1301583472 is an frugal number, since it uses more digits than its factorization.

1301583472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 1301583472 is about 36077.4648776768. The cubic root of 1301583472 is about 1091.8358289249.

The spelling of 1301583472 in words is "one billion, three hundred one million, five hundred eighty-three thousand, four hundred seventy-two".