540813819 has 64 divisors (see below), whose sum is σ = 916844544. Its totient is φ = 275982336.

The previous prime is 540813811. The next prime is 540813829. The reversal of 540813819 is 918318045.

540813819 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 540813819 - 2³ = 540813811 is a prime.

It is a super-2 number, since 2×540813819² = 584959173642729522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (540813811) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1449717 + ... + 1450089.

It is an arithmetic number, because the mean of its divisors is an integer number (14325696).

Almost surely, 2^540813819 is an apocalyptic number.

540813819 is a deficient number, since it is larger than the sum of its proper divisors (376030725).

540813819 is a wasteful number, since it uses less digits than its factorization.

540813819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556.

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 540813819 is about 23255.4040816323. The cubic root of 540813819 is about 814.7341619838.

The spelling of 540813819 in words is "five hundred forty million, eight hundred thirteen thousand, eight hundred nineteen".