527913 has 6 divisors (see below), whose sum is σ = 762554. Its totient is φ = 351936.

The previous prime is 527909. The next prime is 527921. The reversal of 527913 is 319725.

527913 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 522729 + 5184 = 723^2 + 72^2 .

It is not a de Polignac number, because 527913 - 2² = 527909 is a prime.

It is a Duffinian number.

527913 is strictly pandigital in base 7.

It is a Curzon number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (527983) 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 5 ways as a sum of consecutive naturals, for example, 29320 + ... + 29337.

2⁵²⁷⁹¹³ is an apocalyptic number.

It is an amenable number.

527913 is a deficient number, since it is larger than the sum of its proper divisors (234641).

527913 is a wasteful number, since it uses less digits than its factorization.

527913 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58663 (or 58660 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 527913 is about 726.5762176124. The cubic root of 527913 is about 80.8203609277.

The spelling of 527913 in words is "five hundred twenty-seven thousand, nine hundred thirteen".