525493 has 2 divisors, whose sum is σ = 525494. Its totient is φ = 525492.

The previous prime is 525491. The next prime is 525517. The reversal of 525493 is 394525.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 272484 + 253009 = 522^2 + 503^2 .

It is a cyclic number.

It is not a de Polignac number, because 525493 - 2¹ = 525491 is a prime.

It is a super-3 number, since 3×525493³ = 435333471890994471, which contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 525491, it forms a pair of twin primes.

525493 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (525491) 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 as a sum of consecutive naturals, namely, 262746 + 262747.

It is an arithmetic number, because the mean of its divisors is an integer number (262747).

2⁵²⁵⁴⁹³ is an apocalyptic number.

It is an amenable number.

525493 is a deficient number, since it is larger than the sum of its proper divisors (1).

525493 is an equidigital number, since it uses as much as digits as its factorization.

525493 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5400, while the sum is 28.

The square root of 525493 is about 724.9089598012. The cubic root of 525493 is about 80.6966758401.

The spelling of 525493 in words is "five hundred twenty-five thousand, four hundred ninety-three".