527413 has 6 divisors (see below), whose sum is σ = 551894. Its totient is φ = 503976.

The previous prime is 527411. The next prime is 527419. The reversal of 527413 is 314725.

It can be written as a sum of positive squares in only one way, i.e., 508369 + 19044 = 713^2 + 138^2 .

It is not a de Polignac number, because 527413 - 2¹ = 527411 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 (527411) 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, 31 + ... + 1027.

2⁵²⁷⁴¹³ is an apocalyptic number.

It is an amenable number.

527413 is a deficient number, since it is larger than the sum of its proper divisors (24481).

527413 is an equidigital number, since it uses as much as digits as its factorization.

527413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1020 counting only the distinct ones).

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

The square root of 527413 is about 726.2320565770. The cubic root of 527413 is about 80.7948371861.

The spelling of 527413 in words is "five hundred twenty-seven thousand, four hundred thirteen".