52501 has 2 divisors, whose sum is σ = 52502. Its totient is φ = 52500.

The previous prime is 52489. The next prime is 52511. The reversal of 52501 is 10525.

52501 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40401 + 12100 = 201^2 + 110^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-52501 is a prime.

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

It is a zygodrome in base 3.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (52511) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26250 + 26251.

It is an arithmetic number, because the mean of its divisors is an integer number (26251).

2⁵²⁵⁰¹ is an apocalyptic number.

It is an amenable number.

52501 is a deficient number, since it is larger than the sum of its proper divisors (1).

52501 is an equidigital number, since it uses as much as digits as its factorization.

52501 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 50, while the sum is 13.

The square root of 52501 is about 229.1309669163. The cubic root of 52501 is about 37.4445996766. Note that the first 3 decimals are identical.

The spelling of 52501 in words is "fifty-two thousand, five hundred one".