501959497081 has 45 divisors (see below), whose sum is σ = 618840119823. Its totient is φ = 407070588960.

The previous prime is 501959497079. The next prime is 501959497121. The reversal of 501959497081 is 180794959105.

The square root of 501959497081 is 708491.

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., 1318343481 + 500641153600 = 36309^2 + 707560^2 .

It is not a de Polignac number, because 501959497081 - 2¹ = 501959497079 is a prime.

It is a super-3 number, since 3×501959497081³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (501959497031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 659604741 + ... + 659605501.

Almost surely, 2^501959497081 is an apocalyptic number.

501959497081 is the 708491-st square number.

501959497081 is the 354246-th centered octagonal number.

It is an amenable number.

501959497081 is a deficient number, since it is larger than the sum of its proper divisors (116880622742).

501959497081 is an frugal number, since it uses more digits than its factorization.

501959497081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 58.

The spelling of 501959497081 in words is "five hundred one billion, nine hundred fifty-nine million, four hundred ninety-seven thousand, eighty-one".