1325961001872 has 600 divisors, whose sum is σ = 4341331779840. Its totient is φ = 390037939200.

The previous prime is 1325961001853. The next prime is 1325961001877. The reversal of 1325961001872 is 2781001695231.

1325961001872 is a `hidden beast` number, since 1 + 3 + 25 + 9 + 610 + 0 + 1 + 8 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (1325961001877) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 679630497 + ... + 679632447.

Almost surely, 2^{1325961001872} is an apocalyptic number.

1325961001872 is a gapful number since it is divisible by the number (12) 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 1325961001872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2170665889920).

1325961001872 is an abundant number, since it is smaller than the sum of its proper divisors (3015370777968).

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

1325961001872 is a wasteful number, since it uses less digits than its factorization.

1325961001872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2133 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 1325961001872 in words is "one trillion, three hundred twenty-five billion, nine hundred sixty-one million, one thousand, eight hundred seventy-two".