540577131 has 16 divisors (see below), whose sum is σ = 728724480. Its totient is φ = 356428800.

The previous prime is 540577117. The next prime is 540577153. The reversal of 540577131 is 131775045.

It is not a de Polignac number, because 540577131 - 2⁵ = 540577099 is a prime.

It is a super-2 number, since 2×540577131² = 584447269120382322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 540577092 and 540577101.

It is not an unprimeable number, because it can be changed into a prime (540577231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105771 + ... + 110763.

It is an arithmetic number, because the mean of its divisors is an integer number (45545280).

Almost surely, 2^540577131 is an apocalyptic number.

540577131 is a deficient number, since it is larger than the sum of its proper divisors (188147349).

540577131 is a wasteful number, since it uses less digits than its factorization.

540577131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5386.

The product of its (nonzero) digits is 14700, while the sum is 33.

The square root of 540577131 is about 23250.3146430323. The cubic root of 540577131 is about 814.6152880871.

The spelling of 540577131 in words is "five hundred forty million, five hundred seventy-seven thousand, one hundred thirty-one".