251100041 has 2 divisors, whose sum is σ = 251100042. Its totient is φ = 251100040.

The previous prime is 251100011. The next prime is 251100043. The reversal of 251100041 is 140001152.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 170172025 + 80928016 = 13045^2 + 8996^2 .

It is a cyclic number.

It is not a de Polignac number, because 251100041 - 2²⁶ = 183991177 is a prime.

Together with 251100043, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 251099989 and 251100025.

It is not a weakly prime, because it can be changed into another prime (251100043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 125550020 + 125550021.

It is an arithmetic number, because the mean of its divisors is an integer number (125550021).

Almost surely, 2^251100041 is an apocalyptic number.

It is an amenable number.

251100041 is a deficient number, since it is larger than the sum of its proper divisors (1).

251100041 is an equidigital number, since it uses as much as digits as its factorization.

251100041 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 251100041 is about 15846.1364691839. The cubic root of 251100041 is about 630.8831495756.

Adding to 251100041 its reverse (140001152), we get a palindrome (391101193).

The spelling of 251100041 in words is "two hundred fifty-one million, one hundred thousand, forty-one".