540507677 has 2 divisors, whose sum is σ = 540507678. Its totient is φ = 540507676.

The previous prime is 540507637. The next prime is 540507679. The reversal of 540507677 is 776705045.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 493461796 + 47045881 = 22214^2 + 6859^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-540507677 is a prime.

Together with 540507679, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (540507679) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270253838 + 270253839.

It is an arithmetic number, because the mean of its divisors is an integer number (270253839).

Almost surely, 2^540507677 is an apocalyptic number.

It is an amenable number.

540507677 is a deficient number, since it is larger than the sum of its proper divisors (1).

540507677 is an equidigital number, since it uses as much as digits as its factorization.

540507677 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 205800, while the sum is 41.

The square root of 540507677 is about 23248.8209808584. The cubic root of 540507677 is about 814.5803990089.

The spelling of 540507677 in words is "five hundred forty million, five hundred seven thousand, six hundred seventy-seven".