1325403648 has 280 divisors, whose sum is σ = 4105806408. Its totient is φ = 426995712.

The previous prime is 1325403641. The next prime is 1325403649. The reversal of 1325403648 is 8463045231.

1325403648 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 4 + 0 + 3 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1325403641) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 19782111 + ... + 19782177.

It is a vampire number, since it can be written as 30528 ⋅ 43416 (with its own digits).

Almost surely, 2^1325403648 is an apocalyptic number.

1325403648 is a gapful number since it is divisible by the number (18) 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 1325403648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2052903204).

1325403648 is an abundant number, since it is smaller than the sum of its proper divisors (2780402760).

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

1325403648 is an frugal number, since it uses more digits than its factorization.

1325403648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 1325403648 is about 36406.0935558870. The cubic root of 1325403648 is about 1098.4561394247.

Adding to 1325403648 its reverse (8463045231), we get a palindrome (9788448879).

The spelling of 1325403648 in words is "one billion, three hundred twenty-five million, four hundred three thousand, six hundred forty-eight".