513430405 has 12 divisors (see below), whose sum is σ = 621997740. Its totient is φ = 406860224.

The previous prime is 513430361. The next prime is 513430417. The reversal of 513430405 is 504034315.

It can be written as a sum of positive squares in 2 ways, for example, as 227617569 + 285812836 = 15087^2 + 16906^2 .

It is not a de Polignac number, because 513430405 - 2²⁵ = 479875973 is a prime.

It is a super-2 number, since 2×513430405² = 527221561556928050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 513430405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52761 + ... + 61729.

It is an arithmetic number, because the mean of its divisors is an integer number (51833145).

Almost surely, 2^513430405 is an apocalyptic number.

It is an amenable number.

513430405 is a deficient number, since it is larger than the sum of its proper divisors (108567335).

513430405 is an equidigital number, since it uses as much as digits as its factorization.

513430405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9188 (or 9081 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 513430405 is about 22659.0027362194. The cubic root of 513430405 is about 800.7443098929.

The spelling of 513430405 in words is "five hundred thirteen million, four hundred thirty thousand, four hundred five".