251041001 has 2 divisors, whose sum is σ = 251041002. Its totient is φ = 251041000.

The previous prime is 251040983. The next prime is 251041013. The reversal of 251041001 is 100140152.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 177955600 + 73085401 = 13340^2 + 8549^2 .

It is a cyclic number.

It is not a de Polignac number, because 251041001 - 2¹⁴ = 251024617 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (251041031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 125520500 + 125520501.

It is an arithmetic number, because the mean of its divisors is an integer number (125520501).

Almost surely, 2^251041001 is an apocalyptic number.

It is an amenable number.

251041001 is a deficient number, since it is larger than the sum of its proper divisors (1).

251041001 is an equidigital number, since it uses as much as digits as its factorization.

251041001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 251041001 is about 15844.2734450021. The cubic root of 251041001 is about 630.8337001468.

Adding to 251041001 its reverse (100140152), we get a palindrome (351181153).

The spelling of 251041001 in words is "two hundred fifty-one million, forty-one thousand, one".