57564965329 has 9 divisors (see below), whose sum is σ = 58453290651. Its totient is φ = 56689951560.

The previous prime is 57564965309. The next prime is 57564965369. The reversal of 57564965329 is 92356946575.

The square root of 57564965329 is 239927.

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., 51314481729 + 6250483600 = 226527^2 + 79060^2 .

It is not a de Polignac number, because 57564965329 - 2⁷ = 57564965201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57564965309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16073319 + ... + 16076899.

Almost surely, 2^57564965329 is an apocalyptic number.

57564965329 is the 239927-th square number.

57564965329 is the 119964-th centered octagonal number.

It is an amenable number.

57564965329 is a deficient number, since it is larger than the sum of its proper divisors (888325322).

57564965329 is an frugal number, since it uses more digits than its factorization.

57564965329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7296 (or 3648 counting only the distinct ones).

The product of its digits is 61236000, while the sum is 61.

The spelling of 57564965329 in words is "fifty-seven billion, five hundred sixty-four million, nine hundred sixty-five thousand, three hundred twenty-nine".