513384207 has 32 divisors (see below), whose sum is σ = 829730304. Its totient is φ = 275635200.

The previous prime is 513384197. The next prime is 513384227. The reversal of 513384207 is 702483315.

It is not a de Polignac number, because 513384207 - 2¹⁴ = 513367823 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513384227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 345907 + ... + 347387.

It is an arithmetic number, because the mean of its divisors is an integer number (25929072).

Almost surely, 2^513384207 is an apocalyptic number.

513384207 is a deficient number, since it is larger than the sum of its proper divisors (316346097).

513384207 is a wasteful number, since it uses less digits than its factorization.

513384207 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2479.

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 513384207 is about 22657.9832950773. The cubic root of 513384207 is about 800.7202924247.

It can be divided in two parts, 513384 and 207, that added together give a triangular number (513591 = T₁₀₁₃).

The spelling of 513384207 in words is "five hundred thirteen million, three hundred eighty-four thousand, two hundred seven".