505482606729 has 45 divisors (see below), whose sum is σ = 760853495941. Its totient is φ = 334441699200.

The previous prime is 505482606691. The next prime is 505482606751. The reversal of 505482606729 is 927606284505.

The square root of 505482606729 is 710973.

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

505482606729 is a `hidden beast` number, since 5 + 0 + 5 + 4 + 8 + 2 + 606 + 7 + 29 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 476327727225 + 29154879504 = 690165^2 + 170748^2 .

It is not a de Polignac number, because 505482606729 - 2²⁹ = 504945735817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (505482606529) 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 44 ways as a sum of consecutive naturals, for example, 1260554929 + ... + 1260555329.

Almost surely, 2^505482606729 is an apocalyptic number.

505482606729 is the 710973-rd square number.

505482606729 is the 355487-th centered octagonal number.

It is an amenable number.

505482606729 is a deficient number, since it is larger than the sum of its proper divisors (255370889212).

505482606729 is an frugal number, since it uses more digits than its factorization.

505482606729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 505482606729 in words is "five hundred five billion, four hundred eighty-two million, six hundred six thousand, seven hundred twenty-nine".