2564909027297 has 8 divisors (see below), whose sum is σ = 2750845829760. Its totient is φ = 2384066383920.

The previous prime is 2564909027293. The next prime is 2564909027309. The reversal of 2564909027297 is 7927209094652.

2564909027297 is digitally balanced in base 3, because in such base 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 2564909027297 - 2² = 2564909027293 is a prime.

It is a super-2 number, since 2×2564909027297² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2564909027293) 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 7 ways as a sum of consecutive naturals, for example, 1273538729 + ... + 1273540742.

It is an arithmetic number, because the mean of its divisors is an integer number (343855728720).

Almost surely, 2^{2564909027297} is an apocalyptic number.

It is an amenable number.

2564909027297 is a deficient number, since it is larger than the sum of its proper divisors (185936802463).

2564909027297 is a wasteful number, since it uses less digits than its factorization.

2564909027297 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2547079543.

The product of its (nonzero) digits is 34292160, while the sum is 62.

The spelling of 2564909027297 in words is "two trillion, five hundred sixty-four billion, nine hundred nine million, twenty-seven thousand, two hundred ninety-seven".