531007 has 8 divisors (see below), whose sum is σ = 555984. Its totient is φ = 506688.

The previous prime is 530989. The next prime is 531017. The reversal of 531007 is 700135.

531007 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 531007 - 2¹⁹ = 6719 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2163 + ... + 2395.

It is an arithmetic number, because the mean of its divisors is an integer number (69498).

2⁵³¹⁰⁰⁷ is an apocalyptic number.

531007 is a deficient number, since it is larger than the sum of its proper divisors (24977).

531007 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (531006) it forms an eRAP, since the sums of their prime factors are consecutive (328 and 329).

531007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329.

The product of its (nonzero) digits is 105, while the sum is 16.

The square root of 531007 is about 728.7022711643. The cubic root of 531007 is about 80.9779445107.

The spelling of 531007 in words is "five hundred thirty-one thousand, seven".