540113971 has 2 divisors, whose sum is σ = 540113972. Its totient is φ = 540113970.

The previous prime is 540113957. The next prime is 540113983. The reversal of 540113971 is 179311045.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 540113971 - 2⁵ = 540113939 is a prime.

It is not a weakly prime, because it can be changed into another prime (540113911) 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, 270056985 + 270056986.

It is an arithmetic number, because the mean of its divisors is an integer number (270056986).

Almost surely, 2^540113971 is an apocalyptic number.

540113971 is a deficient number, since it is larger than the sum of its proper divisors (1).

540113971 is an equidigital number, since it uses as much as digits as its factorization.

540113971 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 31.

The square root of 540113971 is about 23240.3522133379. The cubic root of 540113971 is about 814.3825707429.

The spelling of 540113971 in words is "five hundred forty million, one hundred thirteen thousand, nine hundred seventy-one".