501727314117241 has 8 divisors (see below), whose sum is σ = 502223471830080. Its totient is φ = 501231387989808.

The previous prime is 501727314117223. The next prime is 501727314117257. The reversal of 501727314117241 is 142711413727105.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 501727314117241 - 2⁹ = 501727314116729 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 501727314117191 and 501727314117200.

It is not an unprimeable number, because it can be changed into a prime (501727314117541) 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 7 ways as a sum of consecutive naturals, for example, 53561071 + ... + 62227348.

It is an arithmetic number, because the mean of its divisors is an integer number (62777933978760).

Almost surely, 2^{501727314117241} is an apocalyptic number.

It is an amenable number.

501727314117241 is a deficient number, since it is larger than the sum of its proper divisors (496157712839).

501727314117241 is a wasteful number, since it uses less digits than its factorization.

501727314117241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115792703.

The product of its (nonzero) digits is 329280, while the sum is 46.

The spelling of 501727314117241 in words is "five hundred one trillion, seven hundred twenty-seven billion, three hundred fourteen million, one hundred seventeen thousand, two hundred forty-one".