7501 has 4 divisors (see below), whose sum is σ = 8092. Its totient is φ = 6912.

The previous prime is 7499. The next prime is 7507. The reversal of 7501 is 1057.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 1057 = 7 ⋅151.

It can be written as a sum of positive squares in 2 ways, for example, as 4900 + 2601 = 70^2 + 51^2 .

It is a 4-Lehmer number, since φ(7501) divides (7501-1)⁴.

It is a cyclic number.

It is not a de Polignac number, because 7501 - 2¹ = 7499 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13), and also a Moran number because the ratio is a prime number: 577 = 7501 / (7 + 5 + 0 + 1).

It is a Duffinian number.

7501 is a lucky number.

It is a plaindrome in base 11.

It is a nialpdrome in base 6 and base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7507) 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, 276 + ... + 301.

It is an arithmetic number, because the mean of its divisors is an integer number (2023).

2⁷⁵⁰¹ is an apocalyptic number.

It is an amenable number.

7501 is a deficient number, since it is larger than the sum of its proper divisors (591).

7501 is a wasteful number, since it uses less digits than its factorization.

7501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590.

The product of its (nonzero) digits is 35, while the sum is 13.

The square root of 7501 is about 86.6083136887. The cubic root of 7501 is about 19.5752081378.

Adding to 7501 its reverse (1057), we get a palindrome (8558).

The spelling of 7501 in words is "seven thousand, five hundred one".