461301811001 has 2 divisors, whose sum is σ = 461301811002. Its totient is φ = 461301811000.

The previous prime is 461301810979. The next prime is 461301811007. The reversal of 461301811001 is 100118103164.

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., 358440492601 + 102861318400 = 598699^2 + 320720^2 .

It is a cyclic number.

It is not a de Polignac number, because 461301811001 - 2³⁸ = 186423904057 is a prime.

It is not a weakly prime, because it can be changed into another prime (461301811007) 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, 230650905500 + 230650905501.

It is an arithmetic number, because the mean of its divisors is an integer number (230650905501).

Almost surely, 2^461301811001 is an apocalyptic number.

It is an amenable number.

461301811001 is a deficient number, since it is larger than the sum of its proper divisors (1).

461301811001 is an equidigital number, since it uses as much as digits as its factorization.

461301811001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 26.

Adding to 461301811001 its reverse (100118103164), we get a palindrome (561419914165).

The spelling of 461301811001 in words is "four hundred sixty-one billion, three hundred one million, eight hundred eleven thousand, one".