540123629 has 2 divisors, whose sum is σ = 540123630. Its totient is φ = 540123628.

The previous prime is 540123607. The next prime is 540123679. The reversal of 540123629 is 926321045.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 271491529 + 268632100 = 16477^2 + 16390^2 .

It is a cyclic number.

It is not a de Polignac number, because 540123629 - 2¹² = 540119533 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 540123595 and 540123604.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (540123679) 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, 270061814 + 270061815.

It is an arithmetic number, because the mean of its divisors is an integer number (270061815).

Almost surely, 2^540123629 is an apocalyptic number.

It is an amenable number.

540123629 is a deficient number, since it is larger than the sum of its proper divisors (1).

540123629 is an equidigital number, since it uses as much as digits as its factorization.

540123629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 540123629 is about 23240.5599975560. The cubic root of 540123629 is about 814.3874248172.

The spelling of 540123629 in words is "five hundred forty million, one hundred twenty-three thousand, six hundred twenty-nine".