1325510400 has 432 divisors, whose sum is σ = 4817691648. Its totient is φ = 319488000.

The previous prime is 1325510393. The next prime is 1325510413. The reversal of 1325510400 is 40155231.

1325510400 is nontrivially palindromic in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10118335 + ... + 10118465.

It is an arithmetic number, because the mean of its divisors is an integer number (11152064).

Almost surely, 2^1325510400 is an apocalyptic number.

1325510400 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 1325510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2408845824).

1325510400 is an abundant number, since it is smaller than the sum of its proper divisors (3492181248).

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

1325510400 is a wasteful number, since it uses less digits than its factorization.

1325510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 1325510400 is about 36407.5596545553. The cubic root of 1325510400 is about 1098.4856296211.

Adding to 1325510400 its reverse (40155231), we get a palindrome (1365665631).

The spelling of 1325510400 in words is "one billion, three hundred twenty-five million, five hundred ten thousand, four hundred".