540253305 has 12 divisors (see below), whose sum is σ = 936439140. Its totient is φ = 288135072.

The previous prime is 540253291. The next prime is 540253309. The reversal of 540253305 is 503352045.

It can be written as a sum of positive squares in 2 ways, for example, as 269091216 + 271162089 = 16404^2 + 16467^2 .

It is not a de Polignac number, because 540253305 - 2⁷ = 540253177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (540253309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6002770 + ... + 6002859.

It is an arithmetic number, because the mean of its divisors is an integer number (78036595).

Almost surely, 2^540253305 is an apocalyptic number.

It is an amenable number.

540253305 is a deficient number, since it is larger than the sum of its proper divisors (396185835).

540253305 is a wasteful number, since it uses less digits than its factorization.

540253305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12005640 (or 12005637 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 540253305 is about 23243.3496940523. The cubic root of 540253305 is about 814.4525938808.

The spelling of 540253305 in words is "five hundred forty million, two hundred fifty-three thousand, three hundred five".