1325037253120 has 320 divisors, whose sum is σ = 3721030410240. Its totient is φ = 443046739968.

The previous prime is 1325037253063. The next prime is 1325037253123. The reversal of 1325037253120 is 213527305231.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (1325037253123) 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 31 ways as a sum of consecutive naturals, for example, 849926901 + ... + 849928459.

It is an arithmetic number, because the mean of its divisors is an integer number (11628220032).

Almost surely, 2^{1325037253120} is an apocalyptic number.

1325037253120 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 1325037253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860515205120).

1325037253120 is an abundant number, since it is smaller than the sum of its proper divisors (2395993157120).

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

1325037253120 is a wasteful number, since it uses less digits than its factorization.

1325037253120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2735 (or 2719 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 34.

The spelling of 1325037253120 in words is "one trillion, three hundred twenty-five billion, thirty-seven million, two hundred fifty-three thousand, one hundred twenty".