4288628153313 has 36 divisors (see below), whose sum is σ = 7585328721360. Its totient is φ = 2321663356656.

The previous prime is 4288628153281. The next prime is 4288628153353. The reversal of 4288628153313 is 3133518268824.

4288628153313 is a `hidden beast` number, since 4 + 2 + 8 + 8 + 628 + 1 + 5 + 3 + 3 + 1 + 3 = 666.

4288628153313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4288628153313 - 2⁵ = 4288628153281 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4288628153313.

It is not an unprimeable number, because it can be changed into a prime (4288628153353) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 255906895 + ... + 255923652.

Almost surely, 2^{4288628153313} is an apocalyptic number.

It is an amenable number.

4288628153313 is a deficient number, since it is larger than the sum of its proper divisors (3296700568047).

4288628153313 is a wasteful number, since it uses less digits than its factorization.

4288628153313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511830586 (or 511830576 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 4288628153313 in words is "four trillion, two hundred eighty-eight billion, six hundred twenty-eight million, one hundred fifty-three thousand, three hundred thirteen".