540633127343517 has 32 divisors (see below), whose sum is σ = 907945872892800. Its totient is φ = 315186924439296.

The previous prime is 540633127343497. The next prime is 540633127343563. The reversal of 540633127343517 is 715343721336045.

540633127343517 is a `hidden beast` number, since 5 + 4 + 0 + 6 + 3 + 3 + 12 + 73 + 43 + 517 = 666.

It is not a de Polignac number, because 540633127343517 - 2⁶ = 540633127343453 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540633127343567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40533291228 + ... + 40533304565.

It is an arithmetic number, because the mean of its divisors is an integer number (28373308527900).

Almost surely, 2^{540633127343517} is an apocalyptic number.

540633127343517 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

It is an amenable number.

540633127343517 is a deficient number, since it is larger than the sum of its proper divisors (367312745549283).

540633127343517 is a wasteful number, since it uses less digits than its factorization.

540633127343517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81066595834 (or 81066595828 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 54.

The spelling of 540633127343517 in words is "five hundred forty trillion, six hundred thirty-three billion, one hundred twenty-seven million, three hundred forty-three thousand, five hundred seventeen".