513247 has 16 divisors (see below), whose sum is σ = 656640. Its totient is φ = 390528.

The previous prime is 513239. The next prime is 513257. The reversal of 513247 is 742315.

513247 is nontrivially palindromic in base 6.

It is a 7-Lehmer number, since φ(513247) divides (513247-1)⁷.

It is a cyclic number.

It is not a de Polignac number, because 513247 - 2³ = 513239 is a prime.

513247 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2148 + ... + 2374.

It is an arithmetic number, because the mean of its divisors is an integer number (41040).

2⁵¹³²⁴⁷ is an apocalyptic number.

513247 is a deficient number, since it is larger than the sum of its proper divisors (143393).

513247 is a wasteful number, since it uses less digits than its factorization.

513247 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270.

The product of its digits is 840, while the sum is 22.

The square root of 513247 is about 716.4125906208. The cubic root of 513247 is about 80.0648952600.

The spelling of 513247 in words is "five hundred thirteen thousand, two hundred forty-seven".