501672240637681 has 9 divisors (see below), whose sum is σ = 510032586666369. Its totient is φ = 493446761662800.

The previous prime is 501672240637669. The next prime is 501672240637699. The reversal of 501672240637681 is 186736042276105.

The square root of 501672240637681 is 22398041.

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 2387516335281 + 499284724302400 = 1545159^2 + 22344680^2 .

It is not a de Polignac number, because 501672240637681 - 2¹⁹ = 501672240113393 is a prime.

It is a super-2 number, since 2×501672240637681² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (501672240635681) 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, 1366096911 + ... + 1366464091.

Almost surely, 2^{501672240637681} is an apocalyptic number.

501672240637681 is the 22398041-st square number.

501672240637681 is the 11199021-st centered octagonal number.

It is an amenable number.

501672240637681 is a deficient number, since it is larger than the sum of its proper divisors (8360346028688).

501672240637681 is an frugal number, since it uses more digits than its factorization.

501672240637681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734484 (or 367242 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 58.

The spelling of 501672240637681 in words is "five hundred one trillion, six hundred seventy-two billion, two hundred forty million, six hundred thirty-seven thousand, six hundred eighty-one".