513205405 has 16 divisors (see below), whose sum is σ = 632346624. Its totient is φ = 399611520.

The previous prime is 513205391. The next prime is 513205411. The reversal of 513205405 is 504502315.

It is not a de Polignac number, because 513205405 - 2⁹ = 513204893 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 513205405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92212 + ... + 97618.

It is an arithmetic number, because the mean of its divisors is an integer number (39521664).

Almost surely, 2^513205405 is an apocalyptic number.

It is an amenable number.

513205405 is a deficient number, since it is larger than the sum of its proper divisors (119141219).

513205405 is a wasteful number, since it uses less digits than its factorization.

513205405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5916.

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 513205405 is about 22654.0372781542. The cubic root of 513205405 is about 800.6273230578.

The spelling of 513205405 in words is "five hundred thirteen million, two hundred five thousand, four hundred five".