461723010050021 has 2 divisors, whose sum is σ = 461723010050022. Its totient is φ = 461723010050020.

The previous prime is 461723010049991. The next prime is 461723010050023. The reversal of 461723010050021 is 120050010327164.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 266901293848996 + 194821716201025 = 16337114^2 + 13957855^2 .

It is a cyclic number.

It is not a de Polignac number, because 461723010050021 - 2¹⁰ = 461723010048997 is a prime.

Together with 461723010050023, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 461723010050021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (461723010050023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 230861505025010 + 230861505025011.

It is an arithmetic number, because the mean of its divisors is an integer number (230861505025011).

Almost surely, 2^{461723010050021} is an apocalyptic number.

It is an amenable number.

461723010050021 is a deficient number, since it is larger than the sum of its proper divisors (1).

461723010050021 is an equidigital number, since it uses as much as digits as its factorization.

461723010050021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 32.

Adding to 461723010050021 its reverse (120050010327164), we get a palindrome (581773020377185).

The spelling of 461723010050021 in words is "four hundred sixty-one trillion, seven hundred twenty-three billion, ten million, fifty thousand, twenty-one".