6577229581321 has 21 divisors (see below), whose sum is σ = 7674451601799. Its totient is φ = 5636871359784.

The previous prime is 6577229581289. The next prime is 6577229581327. The reversal of 6577229581321 is 1231859227756.

The square root of 6577229581321 is 2564611.

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

It can be written as a sum of positive squares in only one way, i.e., 6295306812025 + 281922769296 = 2509045^2 + 530964^2 .

It is not a de Polignac number, because 6577229581321 - 2⁵ = 6577229581289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6577229581327) 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 20 ways as a sum of consecutive naturals, for example, 879657835 + ... + 879665311.

Almost surely, 2^{6577229581321} is an apocalyptic number.

6577229581321 is the 2564611-st square number.

6577229581321 is the 1282306-th centered octagonal number.

It is an amenable number.

6577229581321 is a deficient number, since it is larger than the sum of its proper divisors (1097222020478).

6577229581321 is an frugal number, since it uses more digits than its factorization.

6577229581321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14996 (or 7484 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 58.

The spelling of 6577229581321 in words is "six trillion, five hundred seventy-seven billion, two hundred twenty-nine million, five hundred eighty-one thousand, three hundred twenty-one".