1325535200 has 288 divisors, whose sum is σ = 3761759232. Its totient is φ = 451584000.

The previous prime is 1325535199. The next prime is 1325535217. The reversal of 1325535200 is 25355231.

It is a self number, because there is not a number n which added to its sum of digits gives 1325535200.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 11730344 + ... + 11730456.

It is an arithmetic number, because the mean of its divisors is an integer number (13061664).

Almost surely, 2^1325535200 is an apocalyptic number.

1325535200 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 1325535200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880879616).

1325535200 is an abundant number, since it is smaller than the sum of its proper divisors (2436224032).

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

1325535200 is a wasteful number, since it uses less digits than its factorization.

1325535200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 26.

The square root of 1325535200 is about 36407.9002415685. The cubic root of 1325535200 is about 1098.4924803844.

The spelling of 1325535200 in words is "one billion, three hundred twenty-five million, five hundred thirty-five thousand, two hundred".