1325300535936 has 384 divisors, whose sum is σ = 4307593530240. Its totient is φ = 388055162880.

The previous prime is 1325300535893. The next prime is 1325300535943. The reversal of 1325300535936 is 6395350035231.

1325300535936 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 3 + 0 + 0 + 53 + 593 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 1325300535891 and 1325300535900.

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, 67846491 + ... + 67866021.

It is an arithmetic number, because the mean of its divisors is an integer number (11217691485).

Almost surely, 2^{1325300535936} is an apocalyptic number.

1325300535936 is a gapful number since it is divisible by the number (16) 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 1325300535936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2153796765120).

1325300535936 is an abundant number, since it is smaller than the sum of its proper divisors (2982292994304).

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

1325300535936 is a wasteful number, since it uses less digits than its factorization.

1325300535936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19784 (or 19769 counting only the distinct ones).

The product of its (nonzero) digits is 1093500, while the sum is 45.

The spelling of 1325300535936 in words is "one trillion, three hundred twenty-five billion, three hundred million, five hundred thirty-five thousand, nine hundred thirty-six".