1525219328 has 102 divisors (see below), whose sum is σ = 3319504146. Its totient is φ = 698351616.

The previous prime is 1525219307. The next prime is 1525219391. The reversal of 1525219328 is 8239125251.

It can be written as a sum of positive squares in 3 ways, for example, as 1073741824 + 451477504 = 32768^2 + 21248^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1525219291 and 1525219300.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41222126 + ... + 41222162.

Almost surely, 2^1525219328 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 1525219328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659752073).

1525219328 is an abundant number, since it is smaller than the sum of its proper divisors (1794284818).

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

1525219328 is an frugal number, since it uses more digits than its factorization.

1525219328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 56 counting only the distinct ones).

The product of its digits is 43200, while the sum is 38.

The square root of 1525219328 is about 39054.0564858505. The cubic root of 1525219328 is about 1151.0939377634.

The spelling of 1525219328 in words is "one billion, five hundred twenty-five million, two hundred nineteen thousand, three hundred twenty-eight".