3288908052153 has 80 divisors (see below), whose sum is σ = 5109994792320. Its totient is φ = 2106553671936.

The previous prime is 3288908052127. The next prime is 3288908052173. The reversal of 3288908052153 is 3512508098823.

3288908052153 is a `hidden beast` number, since 3 + 28 + 8 + 90 + 8 + 0 + 521 + 5 + 3 = 666.

It is not a de Polignac number, because 3288908052153 - 2⁵ = 3288908052121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3288908052153.

It is not an unprimeable number, because it can be changed into a prime (3288908052103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 94821268 + ... + 94855946.

It is an arithmetic number, because the mean of its divisors is an integer number (63874934904).

Almost surely, 2^{3288908052153} is an apocalyptic number.

It is an amenable number.

3288908052153 is a deficient number, since it is larger than the sum of its proper divisors (1821086740167).

3288908052153 is a wasteful number, since it uses less digits than its factorization.

3288908052153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35180 (or 35171 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 3288908052153 in words is "three trillion, two hundred eighty-eight billion, nine hundred eight million, fifty-two thousand, one hundred fifty-three".