540503105 has 24 divisors (see below), whose sum is σ = 682379880. Its totient is φ = 410952960.

The previous prime is 540503039. The next prime is 540503113. The reversal of 540503105 is 501305045.

It can be written as a sum of positive squares in 4 ways, for example, as 36590401 + 503912704 = 6049^2 + 22448^2 .

It is not a de Polignac number, because 540503105 - 2⁸ = 540502849 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 478181 + ... + 479309.

It is an arithmetic number, because the mean of its divisors is an integer number (28432495).

Almost surely, 2^540503105 is an apocalyptic number.

It is an amenable number.

540503105 is a deficient number, since it is larger than the sum of its proper divisors (141876775).

540503105 is a wasteful number, since it uses less digits than its factorization.

540503105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 540503105 is about 23248.7226530835. The cubic root of 540503105 is about 814.5781022348.

The spelling of 540503105 in words is "five hundred forty million, five hundred three thousand, one hundred five".