513527 has 4 divisors (see below), whose sum is σ = 586896. Its totient is φ = 440160.

The previous prime is 513511. The next prime is 513529. The reversal of 513527 is 725315.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 725315 = 5 ⋅145063.

It is not a de Polignac number, because 513527 - 2⁴ = 513511 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 513527.

It is not an unprimeable number, because it can be changed into a prime (513529) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36674 + ... + 36687.

It is an arithmetic number, because the mean of its divisors is an integer number (146724).

2⁵¹³⁵²⁷ is an apocalyptic number.

513527 is a deficient number, since it is larger than the sum of its proper divisors (73369).

513527 is an equidigital number, since it uses as much as digits as its factorization.

513527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73368.

The product of its digits is 1050, while the sum is 23.

The square root of 513527 is about 716.6079820934. The cubic root of 513527 is about 80.0794523155.

The spelling of 513527 in words is "five hundred thirteen thousand, five hundred twenty-seven".