501987837121 has 9 divisors (see below), whose sum is σ = 513964657251. Its totient is φ = 490283943912.

The previous prime is 501987837067. The next prime is 501987837157. The reversal of 501987837121 is 121738789105.

The square root of 501987837121 is 708511.

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., 167399631025 + 334588206096 = 409145^2 + 578436^2 .

It is not a de Polignac number, because 501987837121 - 2¹¹ = 501987835073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (501987837181) 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 8 ways as a sum of consecutive naturals, for example, 30457735 + ... + 30474211.

It is an arithmetic number, because the mean of its divisors is an integer number (57107184139).

Almost surely, 2^501987837121 is an apocalyptic number.

501987837121 is the 708511-st square number.

501987837121 is the 354256-th centered octagonal number.

It is an amenable number.

501987837121 is a deficient number, since it is larger than the sum of its proper divisors (11976820130).

501987837121 is an frugal number, since it uses more digits than its factorization.

501987837121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33040 (or 16520 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 52.

The spelling of 501987837121 in words is "five hundred one billion, nine hundred eighty-seven million, eight hundred thirty-seven thousand, one hundred twenty-one".