509338041 has 16 divisors (see below), whose sum is σ = 698639424. Its totient is φ = 329828544.

The previous prime is 509338033. The next prime is 509338057. The reversal of 509338041 is 140833905.

It is not a de Polignac number, because 509338041 - 2³ = 509338033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 509337993 and 509338011.

It is not an unprimeable number, because it can be changed into a prime (509338031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68970 + ... + 75996.

It is an arithmetic number, because the mean of its divisors is an integer number (43664964).

Almost surely, 2^509338041 is an apocalyptic number.

It is an amenable number.

509338041 is a deficient number, since it is larger than the sum of its proper divisors (189301383).

509338041 is a wasteful number, since it uses less digits than its factorization.

509338041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7720.

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 509338041 is about 22568.5188038560. The cubic root of 509338041 is about 798.6111532972.

It can be divided in two parts, 5093 and 38041, that added together give a palindrome (43134).

The spelling of 509338041 in words is "five hundred nine million, three hundred thirty-eight thousand, forty-one".