251149793 has 2 divisors, whose sum is σ = 251149794. Its totient is φ = 251149792.

The previous prime is 251149777. The next prime is 251149807. The reversal of 251149793 is 397941152.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 218064289 + 33085504 = 14767^2 + 5752^2 .

It is a cyclic number.

It is not a de Polignac number, because 251149793 - 2⁴ = 251149777 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 251149793.

It is not a weakly prime, because it can be changed into another prime (251149753) 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, 125574896 + 125574897.

It is an arithmetic number, because the mean of its divisors is an integer number (125574897).

Almost surely, 2^251149793 is an apocalyptic number.

It is an amenable number.

251149793 is a deficient number, since it is larger than the sum of its proper divisors (1).

251149793 is an equidigital number, since it uses as much as digits as its factorization.

251149793 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 68040, while the sum is 41.

The square root of 251149793 is about 15847.7062378125. The cubic root of 251149793 is about 630.9248137473.

The spelling of 251149793 in words is "two hundred fifty-one million, one hundred forty-nine thousand, seven hundred ninety-three".