501461724254561 has 24 divisors (see below), whose sum is σ = 594176817004416. Its totient is φ = 421880493212640.

The previous prime is 501461724254489. The next prime is 501461724254609. The reversal of 501461724254561 is 165452427164105.

It is not a de Polignac number, because 501461724254561 - 2³⁴ = 501444544385377 is a prime.

It is a super-2 number, since 2×501461724254561² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (501461724254861) 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 23 ways as a sum of consecutive naturals, for example, 274803545 + ... + 276622326.

It is an arithmetic number, because the mean of its divisors is an integer number (24757367375184).

Almost surely, 2^{501461724254561} is an apocalyptic number.

It is an amenable number.

501461724254561 is a deficient number, since it is larger than the sum of its proper divisors (92715092749855).

501461724254561 is a wasteful number, since it uses less digits than its factorization.

501461724254561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551426229 (or 551426222 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 53.

The spelling of 501461724254561 in words is "five hundred one trillion, four hundred sixty-one billion, seven hundred twenty-four million, two hundred fifty-four thousand, five hundred sixty-one".