2564677334521 has 9 divisors (see below), whose sum is σ = 2579866444621. Its totient is φ = 2549577158752.

The previous prime is 2564677334501. The next prime is 2564677334629. The reversal of 2564677334521 is 1254337764652.

The square root of 2564677334521 is 1601461.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 7684450921 + 2556992883600 = 87661^2 + 1599060^2 .

It is not a de Polignac number, because 2564677334521 - 2¹⁷ = 2564677203449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2564677334501) 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 8 ways as a sum of consecutive naturals, for example, 277048125 + ... + 277057381.

Almost surely, 2^{2564677334521} is an apocalyptic number.

2564677334521 is the 1601461-st square number.

2564677334521 is the 800731-st centered octagonal number.

It is an amenable number.

2564677334521 is a deficient number, since it is larger than the sum of its proper divisors (15189110100).

2564677334521 is an frugal number, since it uses more digits than its factorization.

2564677334521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18860 (or 9430 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 55.

The spelling of 2564677334521 in words is "two trillion, five hundred sixty-four billion, six hundred seventy-seven million, three hundred thirty-four thousand, five hundred twenty-one".