251501 has 2 divisors, whose sum is σ = 251502. Its totient is φ = 251500.

The previous prime is 251491. The next prime is 251513. The reversal of 251501 is 105152.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 249001 + 2500 = 499^2 + 50^2 .

It is a cyclic number.

It is not a de Polignac number, because 251501 - 2⁶ = 251437 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is equal to p₂₂₁₆₃ and since 251501 and 22163 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 251501.

It is not a weakly prime, because it can be changed into another prime (251561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 125750 + 125751.

It is an arithmetic number, because the mean of its divisors is an integer number (125751).

2²⁵¹⁵⁰¹ is an apocalyptic number.

It is an amenable number.

251501 is a deficient number, since it is larger than the sum of its proper divisors (1).

251501 is an equidigital number, since it uses as much as digits as its factorization.

251501 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 14.

The square root of 251501 is about 501.4987537372. The cubic root of 251501 is about 63.1218771124.

Adding to 251501 its reverse (105152), we get a palindrome (356653).

It can be divided in two parts, 251 and 501, that multiplied together give a triangular number (125751 = T₅₀₁).

The spelling of 251501 in words is "two hundred fifty-one thousand, five hundred one".