3007125388801 has 16 divisors (see below), whose sum is σ = 3215960219520. Its totient is φ = 2801847340800.

The previous prime is 3007125388777. The next prime is 3007125388867. The reversal of 3007125388801 is 1088835217003.

3007125388801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 3007125388801 - 2³³ = 2998535454209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3007125380801) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13500190 + ... + 13721128.

It is an arithmetic number, because the mean of its divisors is an integer number (200997513720).

Almost surely, 2^{3007125388801} is an apocalyptic number.

It is an amenable number.

3007125388801 is a deficient number, since it is larger than the sum of its proper divisors (208834830719).

3007125388801 is a wasteful number, since it uses less digits than its factorization.

3007125388801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228984.

The product of its (nonzero) digits is 322560, while the sum is 46.

The spelling of 3007125388801 in words is "three trillion, seven billion, one hundred twenty-five million, three hundred eighty-eight thousand, eight hundred one".