2567879252571 has 32 divisors (see below), whose sum is σ = 3624413345280. Its totient is φ = 1612653235200.

The previous prime is 2567879252527. The next prime is 2567879252591. The reversal of 2567879252571 is 1752529787652.

It is not a de Polignac number, because 2567879252571 - 2⁷ = 2567879252443 is a prime.

It is a super-3 number, since 3×2567879252571³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (2567879252591) 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 31 ways as a sum of consecutive naturals, for example, 152198266 + ... + 152215136.

It is an arithmetic number, because the mean of its divisors is an integer number (113262917040).

Almost surely, 2^{2567879252571} is an apocalyptic number.

2567879252571 is a deficient number, since it is larger than the sum of its proper divisors (1056534092709).

2567879252571 is a wasteful number, since it uses less digits than its factorization.

2567879252571 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31827.

The product of its digits is 148176000, while the sum is 66.

The spelling of 2567879252571 in words is "two trillion, five hundred sixty-seven billion, eight hundred seventy-nine million, two hundred fifty-two thousand, five hundred seventy-one".