1325314251540 has 240 divisors, whose sum is σ = 4448129051520. Its totient is φ = 329326974720.

The previous prime is 1325314251529. The next prime is 1325314251553. The reversal of 1325314251540 is 451524135231.

1325314251540 is a `hidden beast` number, since 1 + 3 + 2 + 53 + 14 + 2 + 51 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1325314251495 and 1325314251504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1524649 + ... + 2230511.

It is an arithmetic number, because the mean of its divisors is an integer number (18533871048).

Almost surely, 2^{1325314251540} is an apocalyptic number.

1325314251540 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 1325314251540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2224064525760).

1325314251540 is an abundant number, since it is smaller than the sum of its proper divisors (3122814799980).

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

1325314251540 is a wasteful number, since it uses less digits than its factorization.

1325314251540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705964 (or 705953 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 1325314251540 its reverse (451524135231), we get a palindrome (1776838386771).

The spelling of 1325314251540 in words is "one trillion, three hundred twenty-five billion, three hundred fourteen million, two hundred fifty-one thousand, five hundred forty".