46505101 has 2 divisors, whose sum is σ = 46505102. Its totient is φ = 46505100.

The previous prime is 46505099. The next prime is 46505117. The reversal of 46505101 is 10150564.

46505101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 45292900 + 1212201 = 6730^2 + 1101^2 .

It is a cyclic number.

It is not a de Polignac number, because 46505101 - 2¹ = 46505099 is a prime.

Together with 46505099, it forms a pair of twin primes.

It is equal to p_2803612 and since 46505101 and 2803612 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (46505171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23252550 + 23252551.

It is an arithmetic number, because the mean of its divisors is an integer number (23252551).

Almost surely, 2^46505101 is an apocalyptic number.

It is an amenable number.

46505101 is a deficient number, since it is larger than the sum of its proper divisors (1).

46505101 is an equidigital number, since it uses as much as digits as its factorization.

46505101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 46505101 is about 6819.4648617029. The cubic root of 46505101 is about 359.6114661095.

Adding to 46505101 its reverse (10150564), we get a palindrome (56655665).

The spelling of 46505101 in words is "forty-six million, five hundred five thousand, one hundred one".