540164101 has 2 divisors, whose sum is σ = 540164102. Its totient is φ = 540164100.

The previous prime is 540164099. The next prime is 540164153. The reversal of 540164101 is 101461045.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 472019076 + 68145025 = 21726^2 + 8255^2 .

It is a cyclic number.

It is not a de Polignac number, because 540164101 - 2¹ = 540164099 is a prime.

Together with 540164099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (550164101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270082050 + 270082051.

It is an arithmetic number, because the mean of its divisors is an integer number (270082051).

Almost surely, 2^540164101 is an apocalyptic number.

It is an amenable number.

540164101 is a deficient number, since it is larger than the sum of its proper divisors (1).

540164101 is an equidigital number, since it uses as much as digits as its factorization.

540164101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 540164101 is about 23241.4307003678. The cubic root of 540164101 is about 814.4077652621.

The spelling of 540164101 in words is "five hundred forty million, one hundred sixty-four thousand, one hundred one".