461205102330053 has 2 divisors, whose sum is σ = 461205102330054. Its totient is φ = 461205102330052.

The previous prime is 461205102330001. The next prime is 461205102330097. The reversal of 461205102330053 is 350033201502164.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 287150038032004 + 174055064298049 = 16945502^2 + 13192993^2 .

It is a cyclic number.

It is not a de Polignac number, because 461205102330053 - 2³⁰ = 461204028588229 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 461205102329995 and 461205102330022.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (461205102332053) 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, 230602551165026 + 230602551165027.

It is an arithmetic number, because the mean of its divisors is an integer number (230602551165027).

Almost surely, 2^{461205102330053} is an apocalyptic number.

It is an amenable number.

461205102330053 is a deficient number, since it is larger than the sum of its proper divisors (1).

461205102330053 is an equidigital number, since it uses as much as digits as its factorization.

461205102330053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64800, while the sum is 35.

The spelling of 461205102330053 in words is "four hundred sixty-one trillion, two hundred five billion, one hundred two million, three hundred thirty thousand, fifty-three".