1325871273552 has 1280 divisors, whose sum is σ = 4712098406400. Its totient is φ = 312134860800.

The previous prime is 1325871273539. The next prime is 1325871273619. The reversal of 1325871273552 is 2553721785231.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 1325871273495 and 1325871273504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13127438302 + ... + 13127438402.

It is an arithmetic number, because the mean of its divisors is an integer number (3681326880).

Almost surely, 2^{1325871273552} is an apocalyptic number.

1325871273552 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 1325871273552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2356049203200).

1325871273552 is an abundant number, since it is smaller than the sum of its proper divisors (3386227132848).

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

1325871273552 is a wasteful number, since it uses less digits than its factorization.

1325871273552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 318 counting only the distinct ones).

The product of its digits is 3528000, while the sum is 51.

The spelling of 1325871273552 in words is "one trillion, three hundred twenty-five billion, eight hundred seventy-one million, two hundred seventy-three thousand, five hundred fifty-two".