1325110400 has 48 divisors (see below), whose sum is σ = 3273444690. Its totient is φ = 530042880.

The previous prime is 1325110393. The next prime is 1325110429. The reversal of 1325110400 is 40115231.

It can be written as a sum of positive squares in 3 ways, for example, as 1237350976 + 87759424 = 35176^2 + 9368^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 203849 + ... + 210248.

Almost surely, 2^1325110400 is an apocalyptic number.

1325110400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1325110400 is an abundant number, since it is smaller than the sum of its proper divisors (1948334290).

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

1325110400 is an equidigital number, since it uses as much as digits as its factorization.

1325110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414121 (or 414104 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 1325110400 is about 36402.0658754417. The cubic root of 1325110400 is about 1098.3751216342.

Adding to 1325110400 its reverse (40115231), we get a palindrome (1365225631).

The spelling of 1325110400 in words is "one billion, three hundred twenty-five million, one hundred ten thousand, four hundred".