525257 has 2 divisors, whose sum is σ = 525258. Its totient is φ = 525256.

The previous prime is 525253. The next prime is 525299. The reversal of 525257 is 752525.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 491401 + 33856 = 701^2 + 184^2 .

It is a cyclic number.

It is not a de Polignac number, because 525257 - 2² = 525253 is a prime.

It is a Chen prime.

It is a zygodrome in base 3.

It is not a weakly prime, because it can be changed into another prime (525253) 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, 262628 + 262629.

It is an arithmetic number, because the mean of its divisors is an integer number (262629).

2⁵²⁵²⁵⁷ is an apocalyptic number.

It is an amenable number.

525257 is a deficient number, since it is larger than the sum of its proper divisors (1).

525257 is an equidigital number, since it uses as much as digits as its factorization.

525257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3500, while the sum is 26.

The square root of 525257 is about 724.7461624597. The cubic root of 525257 is about 80.6845936828.

The spelling of 525257 in words is "five hundred twenty-five thousand, two hundred fifty-seven".