540585045 has 144 divisors (see below), whose sum is σ = 1268781696. Its totient is φ = 207187200.

The previous prime is 540585043. The next prime is 540585061.

540585045 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 540585045 - 2¹ = 540585043 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540585043) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 494950 + ... + 496040.

It is an arithmetic number, because the mean of its divisors is an integer number (8810984).

Almost surely, 2^540585045 is an apocalyptic number.

540585045 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

540585045 is an abundant number, since it is smaller than the sum of its proper divisors (728196651).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

540585045 is a wasteful number, since it uses less digits than its factorization.

540585045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The square root of 540585045 is about 23250.4848336545. The cubic root of 540585045 is about 814.6192633656.

Subtracting from 540585045 its product of nonzero digits (80000), we obtain a palindrome (540505045).

It can be divided in two parts, 540 and 585045, that added together give a palindrome (585585).

The spelling of 540585045 in words is "five hundred forty million, five hundred eighty-five thousand, forty-five".