509338011 has 32 divisors (see below), whose sum is σ = 845268480. Its totient is φ = 265630464.

The previous prime is 509337989. The next prime is 509338019. The reversal of 509338011 is 110833905.

It is a happy number.

It is not a de Polignac number, because 509338011 - 2⁶ = 509337947 is a prime.

It is a super-2 number, since 2×509338011² = 518850418898872242, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 509338011.

It is not an unprimeable number, because it can be changed into a prime (509338019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13816 + ... + 34778.

It is an arithmetic number, because the mean of its divisors is an integer number (26414640).

Almost surely, 2^509338011 is an apocalyptic number.

509338011 is a deficient number, since it is larger than the sum of its proper divisors (335930469).

509338011 is a wasteful number, since it uses less digits than its factorization.

509338011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21075.

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 509338011 is about 22568.5181392133. The cubic root of 509338011 is about 798.6111376178.

The spelling of 509338011 in words is "five hundred nine million, three hundred thirty-eight thousand, eleven".