540681331 has 4 divisors (see below), whose sum is σ = 542925064. Its totient is φ = 538437600.

The previous prime is 540681329. The next prime is 540681341. The reversal of 540681331 is 133186045.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 133186045 = 5 ⋅26637209.

It is a cyclic number.

It is not a de Polignac number, because 540681331 - 2¹ = 540681329 is a prime.

It is a super-3 number, since 3×540681331³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 540681293 and 540681302.

It is not an unprimeable number, because it can be changed into a prime (540681301) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1121505 + ... + 1121986.

It is an arithmetic number, because the mean of its divisors is an integer number (135731266).

Almost surely, 2^540681331 is an apocalyptic number.

540681331 is a deficient number, since it is larger than the sum of its proper divisors (2243733).

540681331 is a wasteful number, since it uses less digits than its factorization.

540681331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2243732.

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 540681331 is about 23252.5553649486. Note that the first 3 decimals coincide. The cubic root of 540681331 is about 814.6676256444.

The spelling of 540681331 in words is "five hundred forty million, six hundred eighty-one thousand, three hundred thirty-one".