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461101601 is a prime number
BaseRepresentation
bin11011011110111…
…101101000100001
31012010122101111002
4123132331220201
51421020222401
6113431001345
714266204352
oct3336755041
91163571432
10461101601
11217309504
1210a509255
13746b5aac
144534bd29
152a732a6b
hex1b7bda21

461101601 has 2 divisors, whose sum is σ = 461101602. Its totient is φ = 461101600.

The previous prime is 461101583. The next prime is 461101637. The reversal of 461101601 is 106101164.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 281568400 + 179533201 = 16780^2 + 13399^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-461101601 is a prime.

It is a super-2 number, since 2×4611016012 = 425229372889526402, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (461101651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 230550800 + 230550801.

It is an arithmetic number, because the mean of its divisors is an integer number (230550801).

Almost surely, 2461101601 is an apocalyptic number.

It is an amenable number.

461101601 is a deficient number, since it is larger than the sum of its proper divisors (1).

461101601 is an equidigital number, since it uses as much as digits as its factorization.

461101601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 461101601 is about 21473.2764384013. The cubic root of 461101601 is about 772.5599851480.

Adding to 461101601 its reverse (106101164), we get a palindrome (567202765).

The spelling of 461101601 in words is "four hundred sixty-one million, one hundred one thousand, six hundred one".