10501 has 2 divisors, whose sum is σ = 10502. Its totient is φ = 10500.

The previous prime is 10499. The next prime is 10513.

10501 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8100 + 2401 = 90^2 + 49^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 10501 - 2¹ = 10499 is a prime.

It is a super-2 number, since 2×10501² = 220542002, which contains 22 as substring.

Together with 10499, it forms a pair of twin primes.

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

10501 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5250 + 5251.

It is an arithmetic number, because the mean of its divisors is an integer number (5251).

2¹⁰⁵⁰¹ is an apocalyptic number.

It is an amenable number.

10501 is a deficient number, since it is larger than the sum of its proper divisors (1).

10501 is an equidigital number, since it uses as much as digits as its factorization.

10501 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5, while the sum is 7.

The square root of 10501 is about 102.4743870438. The cubic root of 10501 is about 21.8982908391.

The spelling of 10501 in words is "ten thousand, five hundred one".