523007 has 2 divisors, whose sum is σ = 523008. Its totient is φ = 523006.

The previous prime is 522989. The next prime is 523021. The reversal of 523007 is 700325.

523007 is nontrivially palindromic in base 2.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 523007 - 2⁶ = 522943 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (523097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 261503 + 261504.

It is an arithmetic number, because the mean of its divisors is an integer number (261504).

2⁵²³⁰⁰⁷ is an apocalyptic number.

523007 is a deficient number, since it is larger than the sum of its proper divisors (1).

523007 is an equidigital number, since it uses as much as digits as its factorization.

523007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 210, while the sum is 17.

The square root of 523007 is about 723.1922289405. The cubic root of 523007 is about 80.5692214803.

The spelling of 523007 in words is "five hundred twenty-three thousand, seven".