540995301 has 64 divisors (see below), whose sum is σ = 1058088960. Its totient is φ = 264487680.

The previous prime is 540995281. The next prime is 540995347. The reversal of 540995301 is 103599045.

It is not a de Polignac number, because 540995301 - 2⁵ = 540995269 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540995201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27690 + ... + 42996.

It is an arithmetic number, because the mean of its divisors is an integer number (16532640).

Almost surely, 2^540995301 is an apocalyptic number.

540995301 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

540995301 is a deficient number, since it is larger than the sum of its proper divisors (517093659).

540995301 is a wasteful number, since it uses less digits than its factorization.

540995301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15351 (or 15345 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 540995301 is about 23259.3056861120. The cubic root of 540995301 is about 814.8252857950.

The spelling of 540995301 in words is "five hundred forty million, nine hundred ninety-five thousand, three hundred one".