540458181 has 18 divisors (see below), whose sum is σ = 808142790. Its totient is φ = 347639376.

The previous prime is 540458167. The next prime is 540458189. The reversal of 540458181 is 181854045.

It can be written as a sum of positive squares in only one way, i.e., 465912225 + 74545956 = 21585^2 + 8634^2 .

It is not a de Polignac number, because 540458181 - 2¹⁰ = 540457157 is a prime.

It is a super-2 number, since 2×540458181² = 584190090819657522, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540458189) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 374860 + ... + 376298.

Almost surely, 2^540458181 is an apocalyptic number.

It is an amenable number.

540458181 is a deficient number, since it is larger than the sum of its proper divisors (267684609).

540458181 is an equidigital number, since it uses as much as digits as its factorization.

540458181 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2913 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 540458181 is about 23247.7564723997. The cubic root of 540458181 is about 814.5555336808. Note that the first 4 decimals are identical.

It can be divided in two parts, 54045 and 8181, that added together give a palindrome (62226).

The spelling of 540458181 in words is "five hundred forty million, four hundred fifty-eight thousand, one hundred eighty-one".