53579749729 has 15 divisors (see below), whose sum is σ = 58968183715. Its totient is φ = 48683401360.

The previous prime is 53579749703. The next prime is 53579749747. The reversal of 53579749729 is 92794797535.

It is a happy number.

The square root of 53579749729 is 231473.

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., 46649520225 + 6930229504 = 215985^2 + 83248^2 .

It is not a de Polignac number, because 53579749729 - 2¹⁷ = 53579618657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (53579749759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 28007277 + ... + 28009189.

Almost surely, 2^53579749729 is an apocalyptic number.

53579749729 is the 231473-rd square number.

53579749729 is the 115737-th centered octagonal number.

It is an amenable number.

53579749729 is a deficient number, since it is larger than the sum of its proper divisors (5388433986).

53579749729 is an frugal number, since it uses more digits than its factorization.

53579749729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3870 (or 1924 counting only the distinct ones).

The product of its digits is 150028200, while the sum is 67.

It can be divided in two parts, 53579 and 749729, that added together give a palindrome (803308).

The spelling of 53579749729 in words is "fifty-three billion, five hundred seventy-nine million, seven hundred forty-nine thousand, seven hundred twenty-nine".