1325201600 has 84 divisors (see below), whose sum is σ = 3274009200. Its totient is φ = 527938560.

The previous prime is 1325201599. The next prime is 1325201621. The reversal of 1325201600 is 61025231.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 428861 + ... + 431939.

It is an arithmetic number, because the mean of its divisors is an integer number (38976300).

Almost surely, 2^1325201600 is an apocalyptic number.

1325201600 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 1325201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637004600).

1325201600 is an abundant number, since it is smaller than the sum of its proper divisors (1948807600).

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

1325201600 is a wasteful number, since it uses less digits than its factorization.

1325201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3370 (or 3355 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 1325201600 is about 36403.3185300461. The cubic root of 1325201600 is about 1098.4003194122.

Adding to 1325201600 its reverse (61025231), we get a palindrome (1386226831).

The spelling of 1325201600 in words is "one billion, three hundred twenty-five million, two hundred one thousand, six hundred".