540019985013 has 24 divisors (see below), whose sum is σ = 795168443160. Its totient is φ = 353033041920.

The previous prime is 540019984961. The next prime is 540019985051. The reversal of 540019985013 is 310589910045.

540019985013 is a `hidden beast` number, since 5 + 40 + 0 + 19 + 98 + 501 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 239323488849 + 300696496164 = 489207^2 + 548358^2 .

It is not a de Polignac number, because 540019985013 - 2¹⁴ = 540019968629 is a prime.

It is a super-2 number, since 2×540019985013² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 540019985013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540019980013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 601393 + ... + 1200713.

It is an arithmetic number, because the mean of its divisors is an integer number (33132018465).

Almost surely, 2^540019985013 is an apocalyptic number.

540019985013 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

It is an amenable number.

540019985013 is a deficient number, since it is larger than the sum of its proper divisors (255148458147).

540019985013 is a wasteful number, since it uses less digits than its factorization.

540019985013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601269 (or 601266 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 540019985013 in words is "five hundred forty billion, nineteen million, nine hundred eighty-five thousand, thirteen".