1325224032 has 96 divisors (see below), whose sum is σ = 3875848704. Its totient is φ = 393024000.

The previous prime is 1325224003. The next prime is 1325224037. The reversal of 1325224032 is 2304225231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1325223993 and 1325224011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1325224037) 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, 36282 + ... + 62982.

It is an arithmetic number, because the mean of its divisors is an integer number (40373424).

Almost surely, 2^1325224032 is an apocalyptic number.

1325224032 is a gapful number since it is divisible by the number (12) 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 1325224032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937924352).

1325224032 is an abundant number, since it is smaller than the sum of its proper divisors (2550624672).

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

1325224032 is a wasteful number, since it uses less digits than its factorization.

1325224032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26772 (or 26764 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 1325224032 is about 36403.6266325211. The cubic root of 1325224032 is about 1098.4065170043.

Adding to 1325224032 its reverse (2304225231), we get a palindrome (3629449263).

The spelling of 1325224032 in words is "one billion, three hundred twenty-five million, two hundred twenty-four thousand, thirty-two".