509480021 has 16 divisors (see below), whose sum is σ = 546361200. Its totient is φ = 473410560.

The previous prime is 509480011. The next prime is 509480077. The reversal of 509480021 is 120084905.

It can be written as a sum of positive squares in 8 ways, for example, as 42315025 + 467164996 = 6505^2 + 21614^2 .

It is a de Polignac number, because none of the positive numbers 2^k-509480021 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509480011) 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, 498491 + ... + 499511.

It is an arithmetic number, because the mean of its divisors is an integer number (34147575).

Almost surely, 2^509480021 is an apocalyptic number.

It is an amenable number.

509480021 is a deficient number, since it is larger than the sum of its proper divisors (36881179).

509480021 is a wasteful number, since it uses less digits than its factorization.

509480021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384.

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 509480021 is about 22571.6641167637. The cubic root of 509480021 is about 798.6853517458.

The spelling of 509480021 in words is "five hundred nine million, four hundred eighty thousand, twenty-one".