251051 has 2 divisors, whose sum is σ = 251052. Its totient is φ = 251050.

The previous prime is 251033. The next prime is 251057. The reversal of 251051 is 150152.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 251051 - 2¹⁰ = 250027 is a prime.

It is equal to p₂₂₁₁₈ and since 251051 and 22118 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 (251057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 125525 + 125526.

It is an arithmetic number, because the mean of its divisors is an integer number (125526).

2²⁵¹⁰⁵¹ is an apocalyptic number.

251051 is a deficient number, since it is larger than the sum of its proper divisors (1).

251051 is an equidigital number, since it uses as much as digits as its factorization.

251051 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 50, while the sum is 14.

The square root of 251051 is about 501.0498977148. The cubic root of 251051 is about 63.0842075435.

Subtracting from 251051 its product of nonzero digits (50), we obtain a square (251001 = 501²).

The spelling of 251051 in words is "two hundred fifty-one thousand, fifty-one".