1325004005000 has 320 divisors, whose sum is σ = 3432794904000. Its totient is φ = 476297856000.

The previous prime is 1325004004997. The next prime is 1325004005023. The reversal of 1325004005000 is 5004005231.

It is a super-2 number, since 2×1325004005000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 410343386 + ... + 410346614.

It is an arithmetic number, because the mean of its divisors is an integer number (10727484075).

Almost surely, 2^{1325004005000} is an apocalyptic number.

1325004005000 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 1325004005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716397452000).

1325004005000 is an abundant number, since it is smaller than the sum of its proper divisors (2107790899000).

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

1325004005000 is a wasteful number, since it uses less digits than its factorization.

1325004005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3434 (or 3415 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The spelling of 1325004005000 in words is "one trillion, three hundred twenty-five billion, four million, five thousand".