1325755200 has 672 divisors, whose sum is σ = 5769059328. Its totient is φ = 258048000.

The previous prime is 1325755187. The next prime is 1325755253. The reversal of 1325755200 is 25575231.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 95 ways as a sum of consecutive naturals, for example, 6283095 + ... + 6283305.

Almost surely, 2^1325755200 is an apocalyptic number.

1325755200 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 1325755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2884529664).

1325755200 is an abundant number, since it is smaller than the sum of its proper divisors (4443304128).

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

1325755200 is a wasteful number, since it uses less digits than its factorization.

1325755200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The square root of 1325755200 is about 36410.9214384915. The cubic root of 1325755200 is about 1098.5532495431.

The spelling of 1325755200 in words is "one billion, three hundred twenty-five million, seven hundred fifty-five thousand, two hundred".