5777064049 has 15 divisors (see below), whose sum is σ = 6161553853. Its totient is φ = 5416562848.

The previous prime is 5777063989. The next prime is 5777064067. The reversal of 5777064049 is 9404607775.

The square root of 5777064049 is 76007.

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

It can be written as a sum of positive squares in 2 ways, for example, as 1792929649 + 3984134400 = 42343^2 + 63120^2 .

It is not a de Polignac number, because 5777064049 - 2⁷ = 5777063921 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5777063993 and 5777064011.

It is not an unprimeable number, because it can be changed into a prime (5777064649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 21965892 + ... + 21966154.

Almost surely, 2^5777064049 is an apocalyptic number.

5777064049 is the 76007-th square number.

5777064049 is the 38004-th centered octagonal number.

It is an amenable number.

5777064049 is a deficient number, since it is larger than the sum of its proper divisors (384489804).

5777064049 is an frugal number, since it uses more digits than its factorization.

5777064049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 49.

The cubic root of 5777064049 is about 1794.3303134142.

Multiplying 5777064049 by its sum of digits (49), we get a square (283076138401 = 532049²).

The spelling of 5777064049 in words is "five billion, seven hundred seventy-seven million, sixty-four thousand, forty-nine".