1325713040 has 80 divisors (see below), whose sum is σ = 3276151920. Its totient is φ = 497172480.

The previous prime is 1325713019. The next prime is 1325713043. The reversal of 1325713040 is 403175231.

It can be written as a sum of positive squares in 8 ways, for example, as 26543104 + 1299169936 = 5152^2 + 36044^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1325713043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 380426 + ... + 383894.

It is an arithmetic number, because the mean of its divisors is an integer number (40951899).

Almost surely, 2^1325713040 is an apocalyptic number.

1325713040 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 1325713040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638075960).

1325713040 is an abundant number, since it is smaller than the sum of its proper divisors (1950438880).

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

1325713040 is a wasteful number, since it uses less digits than its factorization.

1325713040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3780 (or 3774 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 1325713040 is about 36410.3424867166. The cubic root of 1325713040 is about 1098.5416044832.

Adding to 1325713040 its reverse (403175231), we get a palindrome (1728888271).

The spelling of 1325713040 in words is "one billion, three hundred twenty-five million, seven hundred thirteen thousand, forty".