542508471 has 24 divisors (see below), whose sum is σ = 837957744. Its totient is φ = 337017600.

The previous prime is 542508457. The next prime is 542508493. The reversal of 542508471 is 174805245.

It is not a de Polignac number, because 542508471 - 2¹⁰ = 542507447 is a prime.

It is a super-3 number, since 3×542508471³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542508431) 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 23 ways as a sum of consecutive naturals, for example, 2101 + ... + 33006.

It is an arithmetic number, because the mean of its divisors is an integer number (34914906).

Almost surely, 2^542508471 is an apocalyptic number.

542508471 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

542508471 is a deficient number, since it is larger than the sum of its proper divisors (295449273).

542508471 is a wasteful number, since it uses less digits than its factorization.

542508471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35231 (or 35228 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 542508471 is about 23291.8112434392. The cubic root of 542508471 is about 815.5842704636.

The spelling of 542508471 in words is "five hundred forty-two million, five hundred eight thousand, four hundred seventy-one".