527013 has 16 divisors (see below), whose sum is σ = 792000. Its totient is φ = 346320.

The previous prime is 526997. The next prime is 527053. The reversal of 527013 is 310725.

It is not a de Polignac number, because 527013 - 2⁴ = 526997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (527053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3463 + ... + 3611.

It is an arithmetic number, because the mean of its divisors is an integer number (49500).

2⁵²⁷⁰¹³ is an apocalyptic number.

It is an amenable number.

527013 is a deficient number, since it is larger than the sum of its proper divisors (264987).

527013 is a wasteful number, since it uses less digits than its factorization.

527013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 527013 is about 725.9566102736. The cubic root of 527013 is about 80.7744065757.

Adding to 527013 its reverse (310725), we get a palindrome (837738).

The spelling of 527013 in words is "five hundred twenty-seven thousand, thirteen".