509294967 has 32 divisors (see below), whose sum is σ = 713864448. Its totient is φ = 322672896.

The previous prime is 509294927. The next prime is 509294977. The reversal of 509294967 is 769492905.

It is not a de Polignac number, because 509294967 - 2¹² = 509290871 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509294927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1114203 + ... + 1114659.

It is an arithmetic number, because the mean of its divisors is an integer number (22308264).

Almost surely, 2^509294967 is an apocalyptic number.

509294967 is a deficient number, since it is larger than the sum of its proper divisors (204569481).

509294967 is a wasteful number, since it uses less digits than its factorization.

509294967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719.

The product of its (nonzero) digits is 1224720, while the sum is 51.

The square root of 509294967 is about 22567.5644897716. The cubic root of 509294967 is about 798.5886401894.

The spelling of 509294967 in words is "five hundred nine million, two hundred ninety-four thousand, nine hundred sixty-seven".