2564909027359 has 24 divisors (see below), whose sum is σ = 3047487383808. Its totient is φ = 2151480184560.

The previous prime is 2564909027357. The next prime is 2564909027371. The reversal of 2564909027359 is 9537209094652.

2564909027359 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 2564909027359 - 2¹ = 2564909027357 is a prime.

It is a super-3 number, since 3×2564909027359³ (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2564909027297 and 2564909027306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564909027357) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22704204 + ... + 22816894.

It is an arithmetic number, because the mean of its divisors is an integer number (126978640992).

Almost surely, 2^{2564909027359} is an apocalyptic number.

2564909027359 is a deficient number, since it is larger than the sum of its proper divisors (482578356449).

2564909027359 is a wasteful number, since it uses less digits than its factorization.

2564909027359 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122635 (or 122628 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 61.

The spelling of 2564909027359 in words is "two trillion, five hundred sixty-four billion, nine hundred nine million, twenty-seven thousand, three hundred fifty-nine".