251567 has 2 divisors, whose sum is σ = 251568. Its totient is φ = 251566.

The previous prime is 251561. The next prime is 251609. The reversal of 251567 is 765152.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 251567 - 2¹⁰ = 250543 is a prime.

It is a Chen prime.

It is a zygodrome in base 4.

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 251567.

It is not a weakly prime, because it can be changed into another prime (251561) 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, 125783 + 125784.

It is an arithmetic number, because the mean of its divisors is an integer number (125784).

2²⁵¹⁵⁶⁷ is an apocalyptic number.

251567 is a deficient number, since it is larger than the sum of its proper divisors (1).

251567 is an equidigital number, since it uses as much as digits as its factorization.

251567 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2100, while the sum is 26.

The square root of 251567 is about 501.5645521765. The cubic root of 251567 is about 63.1273982032.

It can be divided in two parts, 251 and 567, that added together give a palindrome (818).

The spelling of 251567 in words is "two hundred fifty-one thousand, five hundred sixty-seven".