540563620257 has 24 divisors (see below), whose sum is σ = 788187853440. Its totient is φ = 356973138720.

The previous prime is 540563620243. The next prime is 540563620271. The reversal of 540563620257 is 752026365045.

540563620257 is a `hidden beast` number, since 5 + 4 + 0 + 5 + 636 + 2 + 0 + 2 + 5 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (540563620243) and next prime (540563620271).

It is not a de Polignac number, because 540563620257 - 2⁴ = 540563620241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (540563620237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13297032 + ... + 13337622.

It is an arithmetic number, because the mean of its divisors is an integer number (32841160560).

Almost surely, 2^540563620257 is an apocalyptic number.

It is an amenable number.

540563620257 is a deficient number, since it is larger than the sum of its proper divisors (247624233183).

540563620257 is a wasteful number, since it uses less digits than its factorization.

540563620257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54533 (or 54530 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 540563620257 in words is "five hundred forty billion, five hundred sixty-three million, six hundred twenty thousand, two hundred fifty-seven".