461600351731721 has 2 divisors, whose sum is σ = 461600351731722. Its totient is φ = 461600351731720.

The previous prime is 461600351731709. The next prime is 461600351731723. The reversal of 461600351731721 is 127137153006164.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 355593991840000 + 106006359891721 = 18857200^2 + 10295939^2 .

It is a cyclic number.

It is not a de Polignac number, because 461600351731721 - 2¹⁴ = 461600351715337 is a prime.

Together with 461600351731723, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (461600351731723) 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 as a sum of consecutive naturals, namely, 230800175865860 + 230800175865861.

It is an arithmetic number, because the mean of its divisors is an integer number (230800175865861).

Almost surely, 2^{461600351731721} is an apocalyptic number.

It is an amenable number.

461600351731721 is a deficient number, since it is larger than the sum of its proper divisors (1).

461600351731721 is an equidigital number, since it uses as much as digits as its factorization.

461600351731721 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 635040, while the sum is 47.

The spelling of 461600351731721 in words is "four hundred sixty-one trillion, six hundred billion, three hundred fifty-one million, seven hundred thirty-one thousand, seven hundred twenty-one".