513071 has 8 divisors (see below), whose sum is σ = 562464. Its totient is φ = 465120.

The previous prime is 513067. The next prime is 513083. The reversal of 513071 is 170315.

513071 = T₉₈ + T₉₉ + ... + T₁₅₈.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 513071 - 2² = 513067 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 (513001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 470 + ... + 1116.

It is an arithmetic number, because the mean of its divisors is an integer number (70308).

2⁵¹³⁰⁷¹ is an apocalyptic number.

513071 is a deficient number, since it is larger than the sum of its proper divisors (49393).

513071 is a wasteful number, since it uses less digits than its factorization.

513071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721.

The product of its (nonzero) digits is 105, while the sum is 17.

The square root of 513071 is about 716.2897458431. The cubic root of 513071 is about 80.0557424008.

Adding to 513071 its reverse (170315), we get a palindrome (683386).

The spelling of 513071 in words is "five hundred thirteen thousand, seventy-one".