540735511 has 8 divisors (see below), whose sum is σ = 571794048. Its totient is φ = 510528000.

The previous prime is 540735499. The next prime is 540735523. The reversal of 540735511 is 115537045.

It is an interprime number because it is at equal distance from previous prime (540735499) and next prime (540735523).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 540735511 - 2¹⁷ = 540604439 is a prime.

It is a super-2 number, since 2×540735511² = 584789785712862242, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540735581) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211450 + ... + 213991.

It is an arithmetic number, because the mean of its divisors is an integer number (71474256).

Almost surely, 2^540735511 is an apocalyptic number.

540735511 is a deficient number, since it is larger than the sum of its proper divisors (31058537).

540735511 is a wasteful number, since it uses less digits than its factorization.

540735511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425513.

The product of its (nonzero) digits is 10500, while the sum is 31.

The square root of 540735511 is about 23253.7203690076. The cubic root of 540735511 is about 814.6948365079.

The spelling of 540735511 in words is "five hundred forty million, seven hundred thirty-five thousand, five hundred eleven".