509142741 has 16 divisors (see below), whose sum is σ = 719928000. Its totient is φ = 318956288.

The previous prime is 509142737. The next prime is 509142761. The reversal of 509142741 is 147241905.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 509142741 - 2² = 509142737 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509142721) 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 15 ways as a sum of consecutive naturals, for example, 26035 + ... + 41183.

It is an arithmetic number, because the mean of its divisors is an integer number (44995500).

Almost surely, 2^509142741 is an apocalyptic number.

509142741 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

509142741 is a deficient number, since it is larger than the sum of its proper divisors (210785259).

509142741 is a wasteful number, since it uses less digits than its factorization.

509142741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15828.

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 509142741 is about 22564.1915653985. The cubic root of 509142741 is about 798.5090673969.

The spelling of 509142741 in words is "five hundred nine million, one hundred forty-two thousand, seven hundred forty-one".