252401 has 2 divisors, whose sum is σ = 252402. Its totient is φ = 252400.

The previous prime is 252391. The next prime is 252409. The reversal of 252401 is 104252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 250000 + 2401 = 500^2 + 49^2 .

It is a cyclic number.

It is not a de Polignac number, because 252401 - 2¹⁴ = 236017 is a prime.

It is a Chen prime.

It is equal to p₂₂₂₃₅ and since 252401 and 22235 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (252409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126200 + 126201.

It is an arithmetic number, because the mean of its divisors is an integer number (126201).

2²⁵²⁴⁰¹ is an apocalyptic number.

It is an amenable number.

252401 is a deficient number, since it is larger than the sum of its proper divisors (1).

252401 is an equidigital number, since it uses as much as digits as its factorization.

252401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 252401 is about 502.3952627165. The cubic root of 252401 is about 63.1970816630.

Adding to 252401 its reverse (104252), we get a palindrome (356653).

It can be divided in two parts, 25 and 2401, that multiplied together give a square (60025 = 245²).

The spelling of 252401 in words is "two hundred fifty-two thousand, four hundred one".