3005004005325 has 144 divisors (see below), whose sum is σ = 6439059873792. Its totient is φ = 1310677200000.

The previous prime is 3005004005309. The next prime is 3005004005369. The reversal of 3005004005325 is 5235004005003.

It is not a de Polignac number, because 3005004005325 - 2⁴ = 3005004005309 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3033150 + ... + 3900000.

It is an arithmetic number, because the mean of its divisors is an integer number (44715693568).

Almost surely, 2^{3005004005325} is an apocalyptic number.

3005004005325 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3005004005325 is an abundant number, since it is smaller than the sum of its proper divisors (3434055868467).

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

3005004005325 is a wasteful number, since it uses less digits than its factorization.

3005004005325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866976 (or 866968 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The spelling of 3005004005325 in words is "three trillion, five billion, four million, five thousand, three hundred twenty-five".