461457652517117 has 2 divisors, whose sum is σ = 461457652517118. Its totient is φ = 461457652517116.

The previous prime is 461457652517111. The next prime is 461457652517171. The reversal of 461457652517117 is 711715256754164.

Together with next prime (461457652517171) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 371265612208516 + 90192040308601 = 19268254^2 + 9496949^2 .

It is a cyclic number.

It is not a de Polignac number, because 461457652517117 - 2⁶ = 461457652517053 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 461457652517117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (461457652517111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 230728826258558 + 230728826258559.

It is an arithmetic number, because the mean of its divisors is an integer number (230728826258559).

Almost surely, 2^{461457652517117} is an apocalyptic number.

It is an amenable number.

461457652517117 is a deficient number, since it is larger than the sum of its proper divisors (1).

461457652517117 is an equidigital number, since it uses as much as digits as its factorization.

461457652517117 is an evil number, because the sum of its binary digits is even.

The product of its digits is 49392000, while the sum is 62.

The spelling of 461457652517117 in words is "four hundred sixty-one trillion, four hundred fifty-seven billion, six hundred fifty-two million, five hundred seventeen thousand, one hundred seventeen".