7531 has 4 divisors (see below), whose sum is σ = 7992. Its totient is φ = 7072.

The previous prime is 7529. The next prime is 7537. The reversal of 7531 is 1357.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 1357 = 23 ⋅59.

It is not a de Polignac number, because 7531 - 2¹ = 7529 is a prime.

It is a super-2 number, since 2×7531² = 113431922, which contains 22 as substring.

It is a Duffinian number.

7531 is a lucky number.

It is a straight-line number, since its digits are in arithmetic progression.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (7537) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 205 + ... + 238.

It is an arithmetic number, because the mean of its divisors is an integer number (1998).

2⁷⁵³¹ is an apocalyptic number.

7531 is a deficient number, since it is larger than the sum of its proper divisors (461).

7531 is a wasteful number, since it uses less digits than its factorization.

7531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460.

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

The square root of 7531 is about 86.7813343986. The cubic root of 7531 is about 19.6012702217.

Adding to 7531 its reverse (1357), we get a palindrome (8888).

The spelling of 7531 in words is "seven thousand, five hundred thirty-one".