288673757704013 has 16 divisors (see below), whose sum is σ = 318262377026880. Its totient is φ = 259654619078400.

The previous prime is 288673757704001. The next prime is 288673757704081. The reversal of 288673757704013 is 310407757376882.

It is a cyclic number.

It is not a de Polignac number, because 288673757704013 - 2⁶ = 288673757703949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288673757704313) 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, 296738078 + ... + 297709311.

It is an arithmetic number, because the mean of its divisors is an integer number (19891398564180).

Almost surely, 2^{288673757704013} is an apocalyptic number.

It is an amenable number.

288673757704013 is a deficient number, since it is larger than the sum of its proper divisors (29588619322867).

288673757704013 is a wasteful number, since it uses less digits than its factorization.

288673757704013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594447868.

The product of its (nonzero) digits is 331914240, while the sum is 68.

The spelling of 288673757704013 in words is "two hundred eighty-eight trillion, six hundred seventy-three billion, seven hundred fifty-seven million, seven hundred four thousand, thirteen".