251323 has 2 divisors, whose sum is σ = 251324. Its totient is φ = 251322.

The previous prime is 251297. The next prime is 251347. The reversal of 251323 is 323152.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 251323 - 2⁵ = 251291 is a prime.

It is equal to p₂₂₁₄₇ and since 251323 and 22147 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 251297 and 251306.

It is not a weakly prime, because it can be changed into another prime (251353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 125661 + 125662.

It is an arithmetic number, because the mean of its divisors is an integer number (125662).

2²⁵¹³²³ is an apocalyptic number.

251323 is a deficient number, since it is larger than the sum of its proper divisors (1).

251323 is an equidigital number, since it uses as much as digits as its factorization.

251323 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 180, while the sum is 16.

The square root of 251323 is about 501.3212542871. The cubic root of 251323 is about 63.1069820811.

Adding to 251323 its reverse (323152), we get a palindrome (574475).

The spelling of 251323 in words is "two hundred fifty-one thousand, three hundred twenty-three".