1325051413000 has 256 divisors, whose sum is σ = 3703778058240. Its totient is φ = 433829088000.

The previous prime is 1325051412991. The next prime is 1325051413003. The reversal of 1325051413000 is 3141505231.

It is a happy number.

It is a super-2 number, since 2×1325051413000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1325051413003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101584479 + ... + 101597521.

It is an arithmetic number, because the mean of its divisors is an integer number (14467883040).

Almost surely, 2^{1325051413000} is an apocalyptic number.

1325051413000 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 1325051413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1851889029120).

1325051413000 is an abundant number, since it is smaller than the sum of its proper divisors (2378726645240).

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

1325051413000 is a wasteful number, since it uses less digits than its factorization.

1325051413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13725 (or 13711 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 1325051413000 its reverse (3141505231), we get a palindrome (1328192918231).

The spelling of 1325051413000 in words is "one trillion, three hundred twenty-five billion, fifty-one million, four hundred thirteen thousand".