461617753071721 has 2 divisors, whose sum is σ = 461617753071722. Its totient is φ = 461617753071720.

The previous prime is 461617753071707. The next prime is 461617753071743. The reversal of 461617753071721 is 127170357716164.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 351417727407321 + 110200025664400 = 18746139^2 + 10497620^2 .

It is a cyclic number.

It is not a de Polignac number, because 461617753071721 - 2¹³ = 461617753063529 is a prime.

It is not a weakly prime, because it can be changed into another prime (461617753071701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 230808876535860 + 230808876535861.

It is an arithmetic number, because the mean of its divisors is an integer number (230808876535861).

Almost surely, 2^{461617753071721} is an apocalyptic number.

It is an amenable number.

461617753071721 is a deficient number, since it is larger than the sum of its proper divisors (1).

461617753071721 is an equidigital number, since it uses as much as digits as its factorization.

461617753071721 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10372320, while the sum is 58.

The spelling of 461617753071721 in words is "four hundred sixty-one trillion, six hundred seventeen billion, seven hundred fifty-three million, seventy-one thousand, seven hundred twenty-one".