513705 has 16 divisors (see below), whose sum is σ = 858240. Its totient is φ = 261888.

The previous prime is 513697. The next prime is 513719. The reversal of 513705 is 507315.

513705 = T₃₁ + T₃₂ + ... + T₁₄₅.

It is a happy number.

It is not a de Polignac number, because 513705 - 2³ = 513697 is a prime.

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, 400 + ... + 1089.

It is an arithmetic number, because the mean of its divisors is an integer number (53640).

2⁵¹³⁷⁰⁵ is an apocalyptic number.

It is an amenable number.

513705 is a deficient number, since it is larger than the sum of its proper divisors (344535).

513705 is a wasteful number, since it uses less digits than its factorization.

513705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520.

The product of its (nonzero) digits is 525, while the sum is 21.

The square root of 513705 is about 716.7321675494. The cubic root of 513705 is about 80.0887036927.

The spelling of 513705 in words is "five hundred thirteen thousand, seven hundred five".