1325553115968 has 252 divisors, whose sum is σ = 4245846024420. Its totient is φ = 393971392512.

The previous prime is 1325553115879. The next prime is 1325553115969. The reversal of 1325553115968 is 8695113555231.

1325553115968 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 5 + 531 + 15 + 96 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 737276387904 + 588276728064 = 858648^2 + 766992^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1325553115969) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 3347418 + ... + 3722406.

It is an arithmetic number, because the mean of its divisors is an integer number (16848595335).

Almost surely, 2^{1325553115968} is an apocalyptic number.

1325553115968 is a gapful number since it is divisible by the number (18) 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 1325553115968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122923012210).

1325553115968 is an abundant number, since it is smaller than the sum of its proper divisors (2920292908452).

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

1325553115968 is a wasteful number, since it uses less digits than its factorization.

1325553115968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375062 (or 375030 counting only the distinct ones).

The product of its digits is 4860000, while the sum is 54.

The spelling of 1325553115968 in words is "one trillion, three hundred twenty-five billion, five hundred fifty-three million, one hundred fifteen thousand, nine hundred sixty-eight".