461731417601 has 2 divisors, whose sum is σ = 461731417602. Its totient is φ = 461731417600.

The previous prime is 461731417513. The next prime is 461731417669. The reversal of 461731417601 is 106714137164.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 379505281600 + 82226136001 = 616040^2 + 286751^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-461731417601 is a prime.

It is not a weakly prime, because it can be changed into another prime (461731417801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 230865708800 + 230865708801.

It is an arithmetic number, because the mean of its divisors is an integer number (230865708801).

Almost surely, 2^461731417601 is an apocalyptic number.

It is an amenable number.

461731417601 is a deficient number, since it is larger than the sum of its proper divisors (1).

461731417601 is an equidigital number, since it uses as much as digits as its factorization.

461731417601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84672, while the sum is 41.

The spelling of 461731417601 in words is "four hundred sixty-one billion, seven hundred thirty-one million, four hundred seventeen thousand, six hundred one".