509461667 has 12 divisors (see below), whose sum is σ = 603064560. Its totient is φ = 427518960.

The previous prime is 509461609. The next prime is 509461669. The reversal of 509461667 is 766164905.

It is a happy number.

It is not a de Polignac number, because 509461667 - 2¹⁴ = 509445283 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (509461669) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 160367 + ... + 163512.

It is an arithmetic number, because the mean of its divisors is an integer number (50255380).

Almost surely, 2^509461667 is an apocalyptic number.

509461667 is a deficient number, since it is larger than the sum of its proper divisors (93602893).

509461667 is a wasteful number, since it uses less digits than its factorization.

509461667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323914 (or 323903 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 44.

The square root of 509461667 is about 22571.2575413954. The cubic root of 509461667 is about 798.6757607600.

The spelling of 509461667 in words is "five hundred nine million, four hundred sixty-one thousand, six hundred sixty-seven".