1325283840 has 240 divisors, whose sum is σ = 4644968328. Its totient is φ = 349175808.

The previous prime is 1325283833. The next prime is 1325283853. The reversal of 1325283840 is 483825231.

It can be written as a sum of positive squares in 4 ways, for example, as 1093757184 + 231526656 = 33072^2 + 15216^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 1325283795 and 1325283804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2234584 + ... + 2235176.

Almost surely, 2^1325283840 is an apocalyptic number.

1325283840 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 1325283840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2322484164).

1325283840 is an abundant number, since it is smaller than the sum of its proper divisors (3319684488).

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

1325283840 is an equidigital number, since it uses as much as digits as its factorization.

1325283840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1325283840 is about 36404.4480798707. The cubic root of 1325283840 is about 1098.4230406278.

The spelling of 1325283840 in words is "one billion, three hundred twenty-five million, two hundred eighty-three thousand, eight hundred forty".