513400205 has 16 divisors (see below), whose sum is σ = 622464384. Its totient is φ = 406486080.

The previous prime is 513400193. The next prime is 513400229. The reversal of 513400205 is 502004315.

It is not a de Polignac number, because 513400205 - 2⁶ = 513400141 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221000 + ... + 223310.

It is an arithmetic number, because the mean of its divisors is an integer number (38904024).

Almost surely, 2^513400205 is an apocalyptic number.

It is an amenable number.

513400205 is a deficient number, since it is larger than the sum of its proper divisors (109064179).

513400205 is a wasteful number, since it uses less digits than its factorization.

513400205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2756.

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

The square root of 513400205 is about 22658.3363246290. The cubic root of 513400205 is about 800.7286096460.

The spelling of 513400205 in words is "five hundred thirteen million, four hundred thousand, two hundred five".