251417249 has 2 divisors, whose sum is σ = 251417250. Its totient is φ = 251417248.

The previous prime is 251417237. The next prime is 251417251. The reversal of 251417249 is 942714152.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 167236624 + 84180625 = 12932^2 + 9175^2 .

It is a cyclic number.

It is not a de Polignac number, because 251417249 - 2⁸ = 251416993 is a prime.

Together with 251417251, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (251417219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 125708624 + 125708625.

It is an arithmetic number, because the mean of its divisors is an integer number (125708625).

Almost surely, 2^251417249 is an apocalyptic number.

It is an amenable number.

251417249 is a deficient number, since it is larger than the sum of its proper divisors (1).

251417249 is an equidigital number, since it uses as much as digits as its factorization.

251417249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20160, while the sum is 35.

The square root of 251417249 is about 15856.1423114199. The cubic root of 251417249 is about 631.1486970856.

The spelling of 251417249 in words is "two hundred fifty-one million, four hundred seventeen thousand, two hundred forty-nine".