1325053440 has 360 divisors, whose sum is σ = 4899351600. Its totient is φ = 330891264.

The previous prime is 1325053421. The next prime is 1325053453. The reversal of 1325053440 is 443505231.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6658461 + ... + 6658659.

It is an arithmetic number, because the mean of its divisors is an integer number (13609310).

Almost surely, 2^1325053440 is an apocalyptic number.

1325053440 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 1325053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2449675800).

1325053440 is an abundant number, since it is smaller than the sum of its proper divisors (3574298160).

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

1325053440 is a wasteful number, since it uses less digits than its factorization.

1325053440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 1325053440 is about 36401.2834938550. The cubic root of 1325053440 is about 1098.3593834880.

Adding to 1325053440 its reverse (443505231), we get a palindrome (1768558671).

The spelling of 1325053440 in words is "one billion, three hundred twenty-five million, fifty-three thousand, four hundred forty".