1325209600 has 288 divisors, whose sum is σ = 3881470320. Its totient is φ = 442368000.

The previous prime is 1325209597. The next prime is 1325209601. The reversal of 1325209600 is 69025231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1325209601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7321510 + ... + 7321690.

Almost surely, 2^1325209600 is an apocalyptic number.

1325209600 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 1325209600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940735160).

1325209600 is an abundant number, since it is smaller than the sum of its proper divisors (2556260720).

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

1325209600 is a wasteful number, since it uses less digits than its factorization.

1325209600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 1325209600 is about 36403.4284099726. The cubic root of 1325209600 is about 1098.4025296884.

It can be divided in two parts, 1325 and 209600, that added together give a triangular number (210925 = T₆₄₉).

The spelling of 1325209600 in words is "one billion, three hundred twenty-five million, two hundred nine thousand, six hundred".