1325032000 has 112 divisors (see below), whose sum is σ = 3320094960. Its totient is φ = 523776000.

The previous prime is 1325031991. The next prime is 1325032073. The reversal of 1325032000 is 2305231.

It can be written as a sum of positive squares in 8 ways, for example, as 1101708864 + 223323136 = 33192^2 + 14944^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 711070 + ... + 712930.

It is an arithmetic number, because the mean of its divisors is an integer number (29643705).

Almost surely, 2^1325032000 is an apocalyptic number.

1325032000 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 1325032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660047480).

1325032000 is an abundant number, since it is smaller than the sum of its proper divisors (1995062960).

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

1325032000 is an equidigital number, since it uses as much as digits as its factorization.

1325032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1977 (or 1957 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 1325032000 is about 36400.9889975533. The cubic root of 1325032000 is about 1098.3534594623.

Adding to 1325032000 its reverse (2305231), we get a palindrome (1327337231).

The spelling of 1325032000 in words is "one billion, three hundred twenty-five million, thirty-two thousand".