513004205 has 16 divisors (see below), whose sum is σ = 715085184. Its totient is φ = 346006080.

The previous prime is 513004187. The next prime is 513004207. The reversal of 513004205 is 502400315.

It is not a de Polignac number, because 513004205 - 2¹⁰ = 513003181 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513004207) by changing a digit.

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, 118007 + ... + 122276.

It is an arithmetic number, because the mean of its divisors is an integer number (44692824).

Almost surely, 2^513004205 is an apocalyptic number.

It is an amenable number.

513004205 is a deficient number, since it is larger than the sum of its proper divisors (202080979).

513004205 is a wasteful number, since it uses less digits than its factorization.

513004205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240356.

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 513004205 is about 22649.5961332647. The cubic root of 513004205 is about 800.5226818677.

The spelling of 513004205 in words is "five hundred thirteen million, four thousand, two hundred five".