501461727334361 has 2 divisors, whose sum is σ = 501461727334362. Its totient is φ = 501461727334360.

The previous prime is 501461727334349. The next prime is 501461727334441. The reversal of 501461727334361 is 163433727164105.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 386585002915225 + 114876724419136 = 19661765^2 + 10718056^2 .

It is a cyclic number.

It is not a de Polignac number, because 501461727334361 - 2²⁶ = 501461660225497 is a prime.

It is a super-2 number, since 2×501461727334361² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (501461727354361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 250730863667180 + 250730863667181.

It is an arithmetic number, because the mean of its divisors is an integer number (250730863667181).

Almost surely, 2^{501461727334361} is an apocalyptic number.

It is an amenable number.

501461727334361 is a deficient number, since it is larger than the sum of its proper divisors (1).

501461727334361 is an equidigital number, since it uses as much as digits as its factorization.

501461727334361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7620480, while the sum is 53.

The spelling of 501461727334361 in words is "five hundred one trillion, four hundred sixty-one billion, seven hundred twenty-seven million, three hundred thirty-four thousand, three hundred sixty-one".