1325963520 has 756 divisors, whose sum is σ = 5730445980. Its totient is φ = 292626432.

The previous prime is 1325963503. The next prime is 1325963531. The reversal of 1325963520 is 253695231.

1325963520 is a `hidden beast` number, since 1 + 32 + 596 + 35 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 585252864 + 740710656 = 24192^2 + 27216^2 .

It is a tau number, because it is divible by the number of its divisors (756).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 45722866 + ... + 45722894.

It is an arithmetic number, because the mean of its divisors is an integer number (7579955).

Almost surely, 2^1325963520 is an apocalyptic number.

1325963520 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 1325963520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2865222990).

1325963520 is an abundant number, since it is smaller than the sum of its proper divisors (4404482460).

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

1325963520 is an frugal number, since it uses more digits than its factorization.

1325963520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 1325963520 is about 36413.7820062679. The cubic root of 1325963520 is about 1098.6107862154.

The spelling of 1325963520 in words is "one billion, three hundred twenty-five million, nine hundred sixty-three thousand, five hundred twenty".