540005535 has 24 divisors (see below), whose sum is σ = 970678800. Its totient is φ = 288002304.

The previous prime is 540005519. The next prime is 540005551. The reversal of 540005535 is 535500045.

It is an interprime number because it is at equal distance from previous prime (540005519) and next prime (540005551).

It is not a de Polignac number, because 540005535 - 2⁴ = 540005519 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

540005535 is a modest number, since divided by 5535 gives 5400 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 540005499 and 540005508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221010 + ... + 223439.

It is an arithmetic number, because the mean of its divisors is an integer number (40444950).

Almost surely, 2^540005535 is an apocalyptic number.

540005535 is a deficient number, since it is larger than the sum of its proper divisors (430673265).

540005535 is an equidigital number, since it uses as much as digits as its factorization.

540005535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444469 (or 444457 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 27.

The square root of 540005535 is about 23238.0191711772. The cubic root of 540005535 is about 814.3280672470.

The spelling of 540005535 in words is "five hundred forty million, five thousand, five hundred thirty-five".