509483115 has 40 divisors (see below), whose sum is σ = 967032000. Its totient is φ = 255737088.

The previous prime is 509483111. The next prime is 509483123. The reversal of 509483115 is 511384905.

It is not a de Polignac number, because 509483115 - 2² = 509483111 is a prime.

It is a super-3 number, since 3×509483115³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 509483115.

It is not an unprimeable number, because it can be changed into a prime (509483111) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30115 + ... + 43884.

It is an arithmetic number, because the mean of its divisors is an integer number (24175800).

Almost surely, 2^509483115 is an apocalyptic number.

509483115 is a deficient number, since it is larger than the sum of its proper divisors (457548885).

509483115 is a wasteful number, since it uses less digits than its factorization.

509483115 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74033 (or 74024 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 509483115 is about 22571.7326539191. The cubic root of 509483115 is about 798.6869685102.

It can be divided in two parts, 5094 and 83115, that added together give a square (88209 = 297²).

The spelling of 509483115 in words is "five hundred nine million, four hundred eighty-three thousand, one hundred fifteen".