1500561328 has 80 divisors (see below), whose sum is σ = 3507473920. Its totient is φ = 607523328.

The previous prime is 1500561317. The next prime is 1500561329. The reversal of 1500561328 is 8231650051.

It is a self number, because there is not a number n which added to its sum of digits gives 1500561328.

It is not an unprimeable number, because it can be changed into a prime (1500561329) 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 15 ways as a sum of consecutive naturals, for example, 971725 + ... + 973267.

It is an arithmetic number, because the mean of its divisors is an integer number (43843424).

Almost surely, 2^1500561328 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 1500561328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753736960).

1500561328 is an abundant number, since it is smaller than the sum of its proper divisors (2006912592).

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

1500561328 is a wasteful number, since it uses less digits than its factorization.

1500561328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2034 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 1500561328 is about 38737.0794975563. The cubic root of 1500561328 is about 1144.8570158912.

The spelling of 1500561328 in words is "one billion, five hundred million, five hundred sixty-one thousand, three hundred twenty-eight".