540912101 has 2 divisors, whose sum is σ = 540912102. Its totient is φ = 540912100.

The previous prime is 540912013. The next prime is 540912107. The reversal of 540912101 is 101219045.

It is a happy number.

540912101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 499567201 + 41344900 = 22351^2 + 6430^2 .

It is a cyclic number.

It is not a de Polignac number, because 540912101 - 2¹⁴ = 540895717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (540912107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270456050 + 270456051.

It is an arithmetic number, because the mean of its divisors is an integer number (270456051).

Almost surely, 2^540912101 is an apocalyptic number.

It is an amenable number.

540912101 is a deficient number, since it is larger than the sum of its proper divisors (1).

540912101 is an equidigital number, since it uses as much as digits as its factorization.

540912101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360, while the sum is 23.

The square root of 540912101 is about 23257.5170858800. The cubic root of 540912101 is about 814.7835128263.

The spelling of 540912101 in words is "five hundred forty million, nine hundred twelve thousand, one hundred one".