503137334302729 has 9 divisors (see below), whose sum is σ = 585282387859527. Its totient is φ = 431260437675144.

The previous prime is 503137334302709. The next prime is 503137334302739. The reversal of 503137334302729 is 927203433731305.

The square root of 503137334302729 is 22430723.

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., 502955841262329 + 181493040400 = 22426677^2 + 426020^2 .

It is not a de Polignac number, because 503137334302729 - 2²¹ = 503137332205577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (503137334302709) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 155412867 + ... + 158617255.

Almost surely, 2^{503137334302729} is an apocalyptic number.

503137334302729 is the 22430723-rd square number.

503137334302729 is the 11215362-nd centered octagonal number.

It is an amenable number.

503137334302729 is a deficient number, since it is larger than the sum of its proper divisors (82145053556798).

503137334302729 is an frugal number, since it uses more digits than its factorization.

503137334302729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6408792 (or 3204396 counting only the distinct ones).

The product of its (nonzero) digits is 8573040, while the sum is 52.

The spelling of 503137334302729 in words is "five hundred three trillion, one hundred thirty-seven billion, three hundred thirty-four million, three hundred two thousand, seven hundred twenty-nine".