509416713 has 24 divisors (see below), whose sum is σ = 839042568. Its totient is φ = 295045632.

The previous prime is 509416709. The next prime is 509416723. The reversal of 509416713 is 317614905.

It can be written as a sum of positive squares in 4 ways, for example, as 221503689 + 287913024 = 14883^2 + 16968^2 .

It is not a de Polignac number, because 509416713 - 2² = 509416709 is a prime.

It is not an unprimeable number, because it can be changed into a prime (509416723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126070 + ... + 130047.

It is an arithmetic number, because the mean of its divisors is an integer number (34960107).

Almost surely, 2^509416713 is an apocalyptic number.

It is an amenable number.

509416713 is a deficient number, since it is larger than the sum of its proper divisors (329625855).

509416713 is a wasteful number, since it uses less digits than its factorization.

509416713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256153 (or 256150 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 509416713 is about 22570.2616954257. The cubic root of 509416713 is about 798.6522688217.

The spelling of 509416713 in words is "five hundred nine million, four hundred sixteen thousand, seven hundred thirteen".