2584478138753 has 8 divisors (see below), whose sum is σ = 3127435731072. Its totient is φ = 2084957153856.

The previous prime is 2584478138729. The next prime is 2584478138783. The reversal of 2584478138753 is 3578318744852.

2584478138753 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2584478138753 - 2¹⁰ = 2584478137729 is a prime.

It is a super-2 number, since 2×2584478138753² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2584478138753.

It is not an unprimeable number, because it can be changed into a prime (2584478138783) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10859151725 + ... + 10859151962.

It is an arithmetic number, because the mean of its divisors is an integer number (390929466384).

Almost surely, 2^{2584478138753} is an apocalyptic number.

It is an amenable number.

2584478138753 is a deficient number, since it is larger than the sum of its proper divisors (542957592319).

2584478138753 is a wasteful number, since it uses less digits than its factorization.

2584478138753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21718303711.

The product of its digits is 180633600, while the sum is 65.

The spelling of 2584478138753 in words is "two trillion, five hundred eighty-four billion, four hundred seventy-eight million, one hundred thirty-eight thousand, seven hundred fifty-three".