504166742209 has 27 divisors (see below), whose sum is σ = 550721341737. Its totient is φ = 461337417216.

The previous prime is 504166742171. The next prime is 504166742227. The reversal of 504166742209 is 902247661405.

The square root of 504166742209 is 710047.

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

It can be written as a sum of positive squares in 4 ways, for example, as 190185826609 + 313980915600 = 436103^2 + 560340^2 .

It is a de Polignac number, because none of the positive numbers 2^k-504166742209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (504166742249) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1781507782 + ... + 1781508064.

It is an arithmetic number, because the mean of its divisors is an integer number (20397086731).

Almost surely, 2^504166742209 is an apocalyptic number.

504166742209 is the 710047-th square number.

504166742209 is the 355024-th centered octagonal number.

It is an amenable number.

504166742209 is a deficient number, since it is larger than the sum of its proper divisors (46554599528).

504166742209 is an frugal number, since it uses more digits than its factorization.

504166742209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 504166742209 in words is "five hundred four billion, one hundred sixty-six million, seven hundred forty-two thousand, two hundred nine".