3915825261201 has 72 divisors (see below), whose sum is σ = 7039490515200. Its totient is φ = 2085093420480.

The previous prime is 3915825261113. The next prime is 3915825261247. The reversal of 3915825261201 is 1021625285193.

3915825261201 is a `hidden beast` number, since 3 + 9 + 1 + 5 + 8 + 25 + 2 + 612 + 0 + 1 = 666.

3915825261201 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3915825261201 - 2⁹ = 3915825260689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3915825261281) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3319521 + ... + 4341758.

It is an arithmetic number, because the mean of its divisors is an integer number (97770701600).

Almost surely, 2^{3915825261201} is an apocalyptic number.

It is an amenable number.

3915825261201 is a deficient number, since it is larger than the sum of its proper divisors (3123665253999).

3915825261201 is a wasteful number, since it uses less digits than its factorization.

3915825261201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7661379 (or 7661369 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 3915825261201 in words is "three trillion, nine hundred fifteen billion, eight hundred twenty-five million, two hundred sixty-one thousand, two hundred one".